Question

find the smallest number by which 2925 must be divided to obtain a perfect square. also, find the square root of the perfect square so obtained.

Answer 1

The perfect "square root" of "225" is 15.

Given:

Given number is 2925

To find:

The "square root" of the obtained perfect square

Answer:

Given number is 2925

Prime factors of 2925 is

$2925 = 3 \times 3 \times 5 \times 5 \times 13$

Thus 13 is the smallest number must be divided by 2925 in order to get perfect square.

Therefore,

$New \ number = \frac {2925} {13} = 225$

Hence,

$\sqrt {225} = 3 \times 5 =15$

Answer 2

Given number is 2925.

Prime factor of 2915= 3×3×5×5×13

Therefore,

New number =2925÷13= 225

Hence,

√225=15