Question

6. For each of the following numbers, find the smallest whole number by which it should
be divided so as to get a perfect square. Also find the square root of the square
number so obtained
(1) 2925​

Answer 1

Answer:

Prime factor of 2925 = 5 x 5 x 3 x 3 x 13

so to make it a perfect square we have to divide it by 13.

so required perfect square number is

$\frac{2925}{13} = 225 \\ therefore \: \sqrt{225} = \sqrt{5 \times 5 \times 3 \times 3} = 5 \times 3 = 15$