Math, asked by shaaran40, 11 months ago

find the smallest natural number by which 1,200 shiuld be multiplied do that the square root of the product is a rational number

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Answers

Answered by happygirl0039

I think it should be multiplied with 3.

1200×3=3600

It is a square root of 60

I am not sure about the answer: -)

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Answered by Anonymous

Answer:

Step-by-step explanation:

For the square root to be rational, the number needs to be a square, and for this, each prime factor must occur with an even power.

The prime factorization of 1200 is

1200 = 2⁴ × 3¹ × 5²

The prime factors 2 and 5 already have even powers. The only one we need to fix is 3 and we get an even power here by multiplying by 3.

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