Find the smallest whole number by which 2925 should be multiplied so as to get a perfect square number. Also find its square root.

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Find the smallest whole number by which 2925 should be multiplied so as to get a perfect square number. Also find its square root.

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142

246

195

165

answer is C.

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Detailed Solution

Given number = 2925
Using prime factorization 2925 = 3×3×5×5×13
If the above number is multiplied by 13 then it will be a perfect square. 2925×11 = 38025
& √38025 = 195
Hence, the correct option is 3.

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