Question

Find the smallest number by which 720 should be multiplied to get a perfect
square.

Answer 1

Prime Factorization of 720 is,

720=2×2×2×2×3×3×5

To find perfect square make pair of two of prime factors

thus,

there is a pair of 5 is missing hence to make 720 a perfect square we have to multiply by 5.

5 is the smallest number by which 720 should be multiplied to get a perfect square number

(

(i) 720×5=3600

$(ii)  \sqrt{3600}=60$

∴3600+60=3660

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Hence 3660 is the answer.

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$\bold{@XxBrainlyYashxX}$

Answer 2

Prime Factorization of 720:

720=2×2×2×2×3×3×5

To find perfect square make pair of two of prime factors.

720=(2×2)×(2×2)×(3×3)×5

Thus, there is a pair of 5 is missing.

So, 5 is the smallest number by which 720 should be multiplied to get a perfect square number.

Hope it helps!

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