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CBSE Class 9 Answered

1)rationalise the denominator √3+1/√3-1 + √3-1/√3+1 2)rationalise the denominator √5-√3/√5+√3 + √5+√3/√5-√3
Asked by Avanichoudhary023 | 21 Apr, 2021, 09:18: PM
Expert Answer
Rationalise the given expression
open parentheses i close parentheses
fraction numerator square root of 3 plus 1 over denominator square root of 3 minus 1 end fraction plus fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction
equals fraction numerator open parentheses square root of 3 plus 1 close parentheses squared over denominator 3 minus 1 end fraction
equals fraction numerator 3 plus 1 plus 2 square root of 3 over denominator 2 end fraction
equals fraction numerator 2 open parentheses 2 plus square root of 3 close parentheses over denominator 2 end fraction
equals 2 plus square root of 3

open parentheses i close parentheses
fraction numerator square root of 5 minus square root of 3 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator square root of 5 plus square root of 3 over denominator square root of 5 minus square root of 3 end fraction
equals fraction numerator open parentheses square root of 5 minus square root of 3 close parentheses squared over denominator 5 minus 3 end fraction
equals fraction numerator 5 plus 3 plus 2 square root of 15 over denominator 2 end fraction
equals fraction numerator 2 open parentheses 4 plus square root of 15 close parentheses over denominator 2 end fraction
equals 4 plus square root of 15
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