Question

Find the smallest whole number by which 120 should be multiplied so as to get a perfect square number

Answer 1

Answer:

30

Step-by-step explanation:

120 prime factorization = 2³ x 3 x 5

Thus 2 x 3 x 5 must be multiplied to 120 to make a square number

=30.

120 x 30 = 3600

square root of 3600 is 60  

Answer 2

Answer:

30

Step-by-step explanation:

If you want to know the smallest positive integer, begin by factoring 120. You want the exponent on each prime factor to be even, you need one more 2, 3 and 5. 2⁴ • 3² • 5² = 3600. The smallest positive integer to multiply 120 by so the product is a perfect square is 30.

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