Question

Find the smallest number by which 240 must be multiplied so that the product is a perfect square

Answer 1

Answer:

15

Step-by-step explanation:

First we will find the square root of 240

2 240

2 120

2 60

2 30

3 15

5 5

1

2×2×2×2×3×5

We will need 15 to make it a perfect square.

Answer 2

Smallest number by which 240 must be multiplied so that the product is a perfect square is equals to 15.

What is perfect square?

" Perfect square of a number is defined as the number gets multiplied to itself."

According to the question,

Given number = 240

'x' represents the smallest number to make the product a perfect square

240 = 24 × 10

       = 16 × 15

16 is a perfect square of 4.

To make 15 as  perfect square multiply it by 15

Therefore ,

x= 15

Hence, 15 is the smallest number by which 240 must be multiplied so that the product is a perfect square.

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