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

Answer: 13 and square root = 15

Step-by-step explanation:

2925 = $3^2*5^2*13$    (by factorising)

it is clear from above that 13 is the smallest number with which we can divide the number to obtain perfect square, not otherwise.

square root of the obtained number = 3*5 = 15