Question

find the smallest number by which 14175 must be divided so that the number become a perfect square also find the square root of this perfect square​

Answer 1

Answer:

For this you have to do prime factorisation

5|14175

5|2855

3|567

3|189

3|63

3|21

7|7

|1

14175 = 5×5 × 3×3 × 3×3 × 7

We have to divide by 7 to make 14175 a perfect square

Verification

14175÷7 = 2025

√2025 = 45

Hence,verified