Question

Hi Frnds❗️❗️
✨My First question Brainly✨
Find the smallest number by which 1200 should be multiplied so that square root of product is a rational number.
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Answer 1

1,200 = 4 x 3 x (2 x 5)2 = 24 x 3 x 52 The required smallest natural number is 3.

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Answer 2

Solution :

Question :

Find the smallest number by which 1200 should be multiplied so that square root of product is a rational number ?

In this question , We have provided with 1200 and we need to find the smallest number by which 1200 should be multiplied so that square root of a product is a rational number

Let x be the Smallest number

It means for the value of x  1200 should be multiplied so that square root of product is a rational number.

​⇒ √1200

It can be Written as $\sqrt{100 * 12}$

⇒ √100 * √12

⇒ √100 * (√4*3)

⇒10 * 2√3

⇒ 20√3

Therefore , Our Required Value for x is 3 by which  1200 should be multiplied so that square root of product is a rational number.

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