Question

4. Find the least number by which cach of the given numbers should be divided so as to get perfect square . Also find the square root of the resulting number 1575​

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