Question

find the smallest number by which 392 should be multiplied to get a perfect square .Find the square root of the perfect square so obtained.​

Answer 1

Answer:

2 should be multiplied.

square root of the new number = 28

Step-by-step explanation:

prime factorisation of 392 = 2×2×2×7×7

thus by multiplying 2 to 392 to make it a perfect square of 2×2×7 = 28

Answer 2

Answer:

2 is the smallest number by which 392 should be multiplied. The number obtained is 784 which is the square of 28.

By prime factorization we come to know that 2 should be multiplied to make 392 a perfect square.

we get 784.

thus the square root of the obtained number (784) is 28.