Q.Find the smallest natural no. by which 1200 should be multiplied so that the square root of the product is a rational no.
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Solution:-
√1200
⇒ √100×12
⇒ √100×√12
⇒ 10×√4×3
⇒10×2√3
⇒ 20√3
So, 3 is the smallest natural number that needs to be multiplied with 1200, so as to make the product a rational number.
√1200
⇒ √100×12
⇒ √100×√12
⇒ 10×√4×3
⇒10×2√3
⇒ 20√3
So, 3 is the smallest natural number that needs to be multiplied with 1200, so as to make the product a rational number.
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