Find the smallest whole number by which $2645$ should be multiplied so as to get a perfect square. Also find its square root.

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Solution

Given number = 2645
using prime factorization
$2645 = 5 \times 23 \times 23$
if above number is multiplied by 5 then it will be perfect square.
$2645 \times 5 = 13225$
& $\sqrt{13225} = 115$

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Find the smallest whole number by which 2645 should be multiplied so as to get a perfect square. Also find its square root.

Given number = 2645using prime factorization 2645=5×23×23if above number is multiplied by 5 then it will be perfect square. 2645×5=13225&√13225=115

Find the smallest whole number by which $2645$ should be multiplied so as to get a perfect square. Also find its square root.

Given number = 2645
using prime factorization
$2645 = 5 \times 23 \times 23$
if above number is multiplied by 5 then it will be perfect square.
$2645 \times 5 = 13225$
& $\sqrt{13225} = 115$