The least number that should be divided with 9491× 8165 to make it a perfect square is

9491× 8165 (32)491×23(165) 3982×2495 To make it perfect square divide with “2”

The least number that should be divided with 9491× 8165 to make it a perfect square is

9491× 8165 (32)491×23(165) 3982×2495 To make it perfect square divide with “2”

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The least number that should be divided with $9^{491} \times 8^{165}$ to make it a perfect square is

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9^{3} \times 8^{5}

9^{2} \times 8^{2}

9^{3} \times 8^{3}

answer is B.

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Detailed Solution

9^{491} \times 8^{165}

${(3^{2})}^{491} \times 2^{3 (165)}$

$3^{982} \times 2^{495}$

To make it perfect square divide with “2”

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The least number that should be divided with 9491× 8165 to make it a perfect square is

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The least number that should be divided with $9^{491} \times 8^{165}$ to make it a perfect square is