Find the smallest number by which 2925 must be multiplied to get a per

1.	Find the smallest number by which 2925 must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.
Answer» Given number= 2925 Resolve the given number into prime factors we get 2925 = 3 × 3 × 5 × 5 × 13 To get perfect square we have to divide by 13 Then we get 2925 = 3 × 3 × 5 × 5 New number = 2925 / 13 = 225 Therefore √225 = 3 × 5 = 15

Find the smallest number by which 2925 must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.

Answer»

Given number= 2925

Resolve the given number into prime factors we get

2925 = 3 × 3 × 5 × 5 × 13

To get perfect square we have to divide by 13

Then we get 2925 = 3 × 3 × 5 × 5

New number = 2925 / 13 = 225

Therefore √225 = 3 × 5 = 15