Find the smallest number by which 2925 should be divided to make it a perfect square and find square root - Maths - Squares and Square Roots

Question

Find the smallest number by which 2925 should be divided to make
it a perfect square and find square root obtained

Manbar Singh · Accepted Answer

The prime factorisation of 2925 is given by,2925 = 3 × 3 × 5 × 5 × 13Since the prime factor 13 does not occur in a pair, so the given number is not a perfect square
In order to make it a perfect square it must be divided by 13
Now,2925 ÷ 13 = 225 perfect square number

225 = 3×3×5×5 = 3 × 5 = 15

Find the smallest number by which 2925 should be divided to make it a perfect square and find square root obtained.