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Question

Find the square root of each expression given below:
(i) 3×3×4×4
(ii) 2×2×5×5
(iii) 3×3×3×3×3×3
(iv) 5×5×11×11×7×7

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Solution

(i)3×3×4×4
3×3×4×4=32×42=(3×4)2
So square root of 3×3×4×4 is 3×4=12
(ii) 2×2×5×5
2×2×5×5=22×52=(2×5)2
So square root of 2×2×5×5 is 2×5=10
(iii) 3×3×3×3×3×3
3×3×3×3×3×3=32×32×32=(3×3×3)2
So square root of 3×3×3×3×3×3 is 3×3×3=27
(iv)5×5×11×11×7×7
5×5×11×11×7×7=52×112×72=(5×11×7)2
So square root of 5×5×11×11×7×7 is 5×11×7=385

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