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 | 21st 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

Answered by Renu Varma | 23rd Apr, 2021, 11:28: AM