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Find the smallest number by which 720 should be multiplied so that the product becomes a perfect square.
Question

Find the smallest number by which 720 should be multiplied so that the product becomes a perfect square.

A.

4

B.

3

C.

6

D.

5

Correct option is D

Given:

Number = 720

Concept Used:

To make a number a perfect square, all prime factors must have even powers.

Solution:

720 =24×32×51 2^4 \times 3^2 \times 5^1​​

242^4 ​(even power)

323^2 ​ (even power)

515^1​ (odd power)

To make the power of 5 even, multiply by 5.

The smallest number to multiply 720 to make it a perfect square is 5.

Option (D) is right.

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