8th Class Mathematics Squares and Square Roots Adding and Subtracting Square Roots

         Adding and Subtracting Square Roots  

  Find the square root of \[21\frac{2797}{3364}\].

(a) \[\frac{289}{58}\]                                                     

(b) \[\frac{271}{58}\]         

(c) \[\frac{281}{58}\]                                                     

(d) \[\frac{291}{58}\]                                     

(e) None of these  

Answer: (b)  

  Find the square root 0.000529.

(a) 0.023                                              

(b) 0.027         

(c) 0.033                                              

(d) 0.037

(e) None of these  

Answer: (a)  

  If \[\sqrt{2}=1.414,\sqrt{3}=1.732\] and \[\sqrt{\text{5}}=\text{2}.\text{236}\], then find the value of  \[\sqrt{\frac{800}{45}}\].

(a) 5.214                                              

(b) 4.216         

(c) 4.214                                              

(d) 5.216

(e) None of these  

Answer: (b)  

Simplify: \[\frac{\sqrt{1024}-\sqrt{324}}{\sqrt{441+\sqrt{196}}}\]

(a) \[\frac{2}{5}\]                                            

(b) \[\sqrt{\frac{2}{5}}\]          

(c) \[\sqrt{\frac{8}{5}}\]                                               

(d) \[\sqrt{\frac{4}{25}}\]

(e) None of these  

Answer: (a)  

  A rectangular garden is such that its length is twice the breath and its perimeter is equal to the perimetre of the square field whose area is given as \[\mathbf{5184}\text{ }{{\mathbf{m}}^{\mathbf{2}}}\]. The area of the rectangular field is:

(a) \[\text{56}0\text{8}\,{{\text{m}}^{\text{2}}}\]                                           

(b) \[\text{46}0\text{8}\,{{\text{m}}^{\text{2}}}\]

(c) \[\text{36}0\text{8}\,{{\text{m}}^{\text{2}}}\]                                           

(d) \[\text{24}0\text{8}\,{{\text{m}}^{\text{2}}}\]

(e) None of these  

Answer: (b)  

  If \[\sqrt{4096}=64\] then find the value of \[\sqrt{4096}+\sqrt{4093}+\sqrt{0.004096}\].

(a) 70.646                                           

(b) 60.464

(c) 70.464                                            

(d) 60.646

(e) None of these  

Answer: (c)    

  Find the value of 'y' such that \[\sqrt{188+\sqrt{53+\sqrt{y}}}=14\].

(a) 121                                                 

(b) 11

(c) 1331                                               

(d) 161                            

(e) None of these  

Answer: (a)  

  If \[\sqrt{1+\frac{25}{144}}=1+\frac{p}{12}\], then find the value of p for which this is satisfied.

(a) (-1, 25)                                          

(b) (1, -25)

(c) (-1, -25)                                         

(d) (1, 25)

(e) None of these  

Answer: (b)  

  Find the value of y such that \[\sqrt{1+\sqrt{1-\frac{2176}{2401}}}=1+\frac{y}{7}\].

(a) (1, -15)                                          

(b) (-1, -15)

(c) (1, 15)                            

(d) (-1, 15)

(e) None of these  

Answer: (a)