Which of the following number is both perfect square and perfect cube?
A
64
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B
36
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C
216
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D
343
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Solution
The correct option is A 64 We know that 64 can be written as 2×2×2×2×2×2⟹2√64=2√2×2––––––×2×2––––––×2×2––––––=2×2×2=8
And, 3√64=3√2×2×2––––––––––×2×2×2––––––––––=2×2=4 ⟹ 64 is both perfect square and perfect cube number.