8th Class Mathematics Squares and Square Roots Question Bank

done Square and Square Roots Total Questions - 30

• question_answer1)
  \[\frac{\left( \sqrt{32}+\sqrt{48} \right)}{\left( \sqrt{8}+\sqrt{12} \right)}=?\]
  A)
   \[\sqrt{2}\]                                done clear
  B)
   2    done clear
  C)
   4                                 done clear
  D)
   8 done clear
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• question_answer2)
  If\[\sqrt{2}\text{ =}1.41\], then \[\frac{1}{\sqrt{2}}=\]
  A)
   0.375                           done clear
  B)
   0.378            done clear
  C)
   0.705 done clear
  D)
   7.05 done clear
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• question_answer3)
  If \[\mathbf{x}=\sqrt{100}\], then find the value of \[\frac{{{x}^{3}}+{{x}^{2}}}{x}\]
  A)
   120                              done clear
  B)
   100 done clear
  C)
   110 done clear
  D)
   none of these done clear
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• question_answer4)
  \[x=\sqrt{3018+\sqrt{36+\sqrt{169}}}\], the value of x is
  A)
   55  done clear
  B)
   44              done clear
  C)
   63                                done clear
  D)
   42 done clear
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• question_answer5)
  \[\sqrt{0.9\times 0.09\times x}=0.9\times 0.09\times \sqrt{z}\]. Then the value of \[\frac{x}{z}\] is
  A)
   0.081               done clear
  B)
   0.810           done clear
  C)
   0.081    done clear
  D)
   8.09 done clear
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• question_answer6)
  \[\sqrt{\frac{169}{x}}=\mathbf{1}.\mathbf{30},\]then the value of x is
  A)
   100     done clear
  B)
   1000             done clear
  C)
   10                                done clear
  D)
   10000 done clear
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• question_answer7)
  The greatest six digit number which is a perfect square is
  A)
   998004             done clear
  B)
   998006          done clear
  C)
   998049             done clear
  D)
   998001 done clear
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• question_answer8)
  \[\sqrt{\mathbf{1}+\frac{x}{144}}=\frac{13}{12}\], then find the value of x
  A)
   12                                done clear
  B)
   13              done clear
  C)
   25      done clear
  D)
   50 done clear
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• question_answer9)
  A society collected Rs. 2304 as fees from its students. If each student paid as much rupees as there were students in the school, how many students were there in the school?
  A)
   48  done clear
  B)
   50              done clear
  C)
   38                                done clear
  D)
   40 done clear
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• question_answer10)
  Find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20.
  A)
   32400    done clear
  B)
   16200           done clear
  C)
   8100                            done clear
  D)
   129600 done clear
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• question_answer11)
  What is the square root of least six-digit number which is a perfect square?
  A)
   315                              done clear
  B)
   316            done clear
  C)
   317  done clear
  D)
   318 done clear
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• question_answer12)
  What least number must be subtracted from 7250 to get a perfect square?
  A)
   22                                done clear
  B)
   23             done clear
  C)
   24 done clear
  D)
   25 done clear
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• question_answer13)
  Which of the following is equal to \[\frac{\sqrt{59.29}-\sqrt{5.29}}{\sqrt{59.29}+\sqrt{2.29}}\]
  A)
   0.74                 done clear
  B)
   0.64              done clear
  C)
   0.44                             done clear
  D)
   0.54 done clear
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• question_answer14)
  A general arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out, when the total number of soldiers is 8160. What is the number of soldiers in each row?
  A)
   100                              done clear
  B)
   90 done clear
  C)
   80                                done clear
  D)
   70 done clear
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• question_answer15)
  Find the square root of 0.000529
  A)
   0.023               done clear
  B)
   0.027             done clear
  C)
   0.023  done clear
  D)
   0.037 done clear
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• question_answer16)
  If\[\sqrt{2}=1.414,\sqrt{3}=1.732\]and\[\sqrt{5}=\mathbf{2}.\mathbf{236}\], then find the value of, \[\sqrt{\frac{800}{45}}\]
  A)
   5.214               done clear
  B)
   4.216 done clear
  C)
   4.214                           done clear
  D)
   5.216 done clear
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• question_answer17)
  Simplify: \[\frac{\sqrt{1024}-\sqrt{324}}{\sqrt{441}+\sqrt{196}}\]
  A)
   \[\frac{2}{5}\]        done clear
  B)
   \[\sqrt{\frac{2}{5}}\]            done clear
  C)
   \[\sqrt{\frac{8}{5}}\]                             done clear
  D)
   \[\sqrt{\frac{6}{25}}\] done clear
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• question_answer18)
  If \[\sqrt{\mathbf{4096}}=\mathbf{64},\] then find the value of \[\sqrt{4096}+\sqrt{40.96}+\sqrt{0.004096}\]
  A)
   70.646             done clear
  B)
   60.464           done clear
  C)
   70.464  done clear
  D)
   40.646 done clear
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• question_answer19)
  Find the value of 'y' such that \[\sqrt{188+\sqrt{53+\sqrt{y}}}=14\]
  A)
   121      done clear
  B)
   11             done clear
  C)
   1331                            done clear
  D)
   161 done clear
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• question_answer20)
  If \[\sqrt{1+\frac{25}{144}}=1+\frac{p}{12}\], then find the value of p for which this is satisfied.
  A)
   3                                 done clear
  B)
   1  done clear
  C)
   -1                                done clear
  D)
   2 done clear
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• question_answer21)
  Find the value of y in the expression, \[\sqrt{1+\sqrt{1-\frac{2176}{2401}}}=1+\frac{y}{7}\]
  A)
   1 done clear
  B)
   5              done clear
  C)
   2                                 done clear
  D)
   7 done clear
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• question_answer22)
  Find the square root of 15876.
  A)
   126   done clear
  B)
   144            done clear
  C)
   184                              done clear
  D)
   156 done clear
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• question_answer23)
  Simplify \[\sqrt{3\frac{33}{289}}\]
  A)
   \[\frac{3}{17}\]                         done clear
  B)
   \[\frac{30}{17}\]   done clear
  C)
   \[\frac{33}{17}\]                                   done clear
  D)
   \[\frac{11}{17}\]   done clear
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• question_answer24)
  Find the value of \[\sqrt{2\sqrt{2\sqrt{2\sqrt{2\sqrt{2}?}}}}\]
  A)
   \[{{2}^{\frac{1}{31}}}\]                                 done clear
  B)
   \[{{2}^{\frac{1}{32}}}\]      done clear
  C)
  \[{{2}^{\frac{31}{32}}}\]          done clear
  D)
   \[{{2}^{\frac{30}{31}}}\] done clear
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• question_answer25)
  Simplify the given expression and find the value of the expression. \[\sqrt{\frac{~0.256\times 0.081\times 4.356}{1.5625\times 0.0121\times 129.6\times 64}}\]
  A)
   10.96   done clear
  B)
   0.024            done clear
  C)
   2.196                           done clear
  D)
   4.096 done clear
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• question_answer26)
  If \[a=\sqrt{2}+1\] and \[b=\sqrt{2}-1\], then find the value of \[\frac{{{a}^{2}}+ab+{{b}^{2}}}{{{a}^{2}}-ab+{{b}^{2}}}\]
  A)
   \[32-4\sqrt{2}\]              done clear
  B)
   \[32+4\sqrt{2}\]       done clear
  C)
   0                                 done clear
  D)
   \[\frac{7}{5}\] done clear
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• question_answer27)
  Find the value of the given expression\[2+\frac{1}{\sqrt{2}}+\frac{1}{2+\sqrt{2}}+\frac{1}{\sqrt{2}-2}\]?
  A)
   \[2+\frac{1}{\sqrt{2}}\]            done clear
  B)
   \[-\frac{1}{\sqrt{2}}\] done clear
  C)
   \[2-\frac{1}{\sqrt{2}}\]  done clear
  D)
   \[\frac{1}{\sqrt{2}}\] done clear
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• question_answer28)

  The length of the diagonal of a rectangular paddock is 61m and the length of one side is 60m. Find:

  (A) The width of the paddock

  (B) The length of the fencing needed to enclose the paddock

  
  A)
   11m, 142m                   done clear
  B)
   13m, 146m       done clear
  C)
   11m, 146m                   done clear
  D)
   13m, 142m done clear
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• question_answer29)

  Use the inform anon given in the diagram to find.

  (A) Height of the triangle

  (B) The area of the triangle.

  
  A)
   \[5\,cm,\text{ }6.8\,c{{m}^{2}}\]         done clear
  B)
   \[3\,cm,\text{ }4.8\text{ }c{{m}^{2}}\] done clear
  C)
   \[3\,cm,\text{ }6.8\text{ }c{{m}^{2}}\]          done clear
  D)
   \[6\,cm,\text{ }4.8\text{ }c{{m}^{2}}\] done clear
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• question_answer30)
  Use the information given in the diagram to find the value of x.
  A)
   \[3\sqrt{5}\]      done clear
  B)
   \[6\sqrt{5}\]      done clear
  C)
   \[2\sqrt{5}\]                  done clear
  D)
   \[5\sqrt{5}\] done clear
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