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What is the smallest number by which /5- 2 is to be multiplied to makerational number? Also find the number so obtained?19. |
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Answer» To make rational number we have to multiply with its conjugate.Here conjugate of (√5 - √2) is (√5 +√2)(√5 - √2) (√5 +√2) (√5)² - (√2)² [(a+b)(a-b)= a² -b²]= 5 - 2= 3 3 is a rational number.Hence,the smallest number by which √5–√2 is to be multiplied to make it a rational number is √5+√2 and the number so obtained is 3. |
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