Question

Q1. Find the smallest number by which 368 be multiplied so that the product is a perfect square. Find the
square root of the new square number.plz answer fast​

Answer 1

Perfect Square

Given :

• The number 368

To find :

• The smallest number by which 368 is to be multiplied so that the product is a perfect square

Solution :

• Now, 368 = 2 × 184
• = 2 × 2 × 92
• = 2 × 2 × 2 × 46
• = 2 × 2 × 2 × 2 × 23

• Here we see that 23 is the only unpaired number, for which 368 is not a perfect square.

• Thus we multiply 368 by 23 to obtain the perfect square.

• Now, 368 × 23 = 8464, a perfect square of 92.

Answer :

• Smallest number = 23

• Squre root of perfect square = 92