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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Solution

Given number = 2925
using prime factorization
$2925 = 3 \times 3 \times 5 \times 5 \times 13$
if above number is multiplied by 13 then it will be perfect square.
$2925 \times 11 = 38, 0, 25$
& $\sqrt{38025} = 195$

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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.

Given number = 2925using prime factorization 2925=3×3×5×5×13if above number is multiplied by 13 then it will be perfect square. 2925×11=38,0,25& √38025=195

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

Given number = 2925
using prime factorization
$2925 = 3 \times 3 \times 5 \times 5 \times 13$
if above number is multiplied by 13 then it will be perfect square.
$2925 \times 11 = 38, 0, 25$
& $\sqrt{38025} = 195$