Question

Find the smallest number by which 2,925 must be divided to get a perfect square Also, find the square
root of the perfect square so obtained
55​

Answer 1

Answer:

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 132925=3×3×5×5×13

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

Therefore,

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

13

2925

=225

Hence,

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

225

=3×5=15