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What is the smallest possible integer value of x in order for the product of 720 and x to result in a perfect square?

What is the smallest possible integer value of x in order for the product of 720 and x to result in a perfect square?
asked 24.6k views
5 votes
What is the smallest possible integer value of x in order for the product of 720 and x to result in a perfect square?

asked
User Randrian
by
8.1k points

1 Answer

2 votes

Answer:

x = 5

Explanation:

720 = 2^4 × 3^2 × 5

√720 = 2^2 × 3 × √5

√(720×5) = 2^2 × 3 × 5

answered
User Oleg Bondarenko
by
9.2k points
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