Question

find the smallest number by which 252 must be divided to get a perfect square.Also find the square root of the perfect square so obtained

Answer 1

Here is your answer⬇️⬇️



To find the least number which must be divided to 25, we shoukd find the LCM of 252.



252 = 2 × 2 × 3 × 3 × 7

Common factors = 2 × 3

Uncommon factors = 7


7 is the only number which does not have a pair.


So, 7 is the only number which must be divided 252 to get a perfect square.

252 ÷ 7 = 36

$\sqrt{36}$ = 6

Answer 2

252 - 2×2×3×3×7

7 is the only number which must be divided to 252 to get a perfect square.

252/7=36

√36 =6