Question

Q24- By what least number should be 1575 be divided to get a perfect square, also
find the number whose square is the new number.​

Answer 1

Given number is 1575 first we write it as the product of prime factors

3 1575

3 525

5 175

5 35

7 7

1

∴ 1575=

3×3 × 5× 5 ×7

Clearly 7 has no pair so if we divide it by 7 then quotient become a perfect square