Question

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

Answer 1

Answer:

7 is the number and 2.64575131106 is the square root

Step-by-step explanation:

because if we multiply 252×7=1764 That is a perfect square. 1764 =2×2×3×3×7×7 Therefore if we multiply 252×7= we get perfect square

Answer 2

Prime factors of 252=2*2*3*3*7

Here, 7 doesn't exist in pair.

So, 252 must be multiplied by 7 ,so that the product is a perfect square.

Perfect square = 252*7

=1764

Square root of the number obtained =2*3*7

=42