Question

By what number should the number 720 be multiplied to get perfect square? Also, find the number whose square is the new number.​

Answer 1

Answer:

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Step-by-step explanation:

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) 3600=60

∴3600+60=3660

Hence 3660 is the answer