Adding and Subtracting Square Roots
Category : 8th Class
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)
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