Question

By what least number should 7350 be multiplied to get a perfect square

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

first of all, find prime factors of given number. this will give you an idea to solve the question.

so, prime factors of 7350 = 2 × 3 × 5 × 5 × 7 × 7

= 2 × 3 × 5² × 7²

= 6 × (5 × 7)²

= 6 × (35)²

now can you think which number is required to multiply in 6 × (35)² so that it will be a perfect square.

of course, 6.

i.e., 6 × 6 × (35)² = 6² × (35)² = (6 × 35)² = (210)² [ it is a perfect square ]

hence , 6 should 7350 be multiplied to get a perfect square.