(16)Rationalise the denominator:1/√3+√2-1

Asked by misradebasis73 | 15th Feb, 2022, 04:21: PM

Expert Answer:

This is a problem based on rationalising the denominator.
open curly brackets fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction close curly brackets

open curly brackets fraction numerator 1 over denominator square root of 3 plus left parenthesis square root of 2 minus 1 right parenthesis end fraction close curly brackets cross times open curly brackets fraction numerator square root of 3 minus left parenthesis square root of 2 minus 1 right parenthesis over denominator square root of 3 minus left parenthesis square root of 2 minus 1 right parenthesis end fraction close curly brackets
open curly brackets fraction numerator square root of 3 minus left parenthesis square root of 2 minus 1 right parenthesis over denominator open parentheses square root of 3 close parentheses squared minus left parenthesis square root of 2 minus 1 right parenthesis squared end fraction close curly brackets
open curly brackets fraction numerator square root of 3 minus left parenthesis square root of 2 minus 1 right parenthesis over denominator 3 minus left parenthesis square root of 2 minus 1 right parenthesis squared end fraction close curly brackets
open curly brackets fraction numerator square root of 3 minus square root of 2 plus 1 over denominator 3 minus left parenthesis 3 minus 2 square root of 2 right parenthesis end fraction close curly brackets
open curly brackets fraction numerator square root of 3 minus square root of 2 plus 1 over denominator 2 square root of 2 end fraction close curly brackets
open curly brackets fraction numerator square root of 3 minus square root of 2 plus 1 right parenthesis over denominator 2 square root of 2 end fraction close curly brackets cross times fraction numerator square root of 2 over denominator square root of 2 end fraction space left parenthesis Rationalising space once space more right parenthesis

open curly brackets fraction numerator square root of 3 minus square root of 2 plus 1 over denominator 4 end fraction close curly brackets

open curly brackets fraction numerator square root of 2 left parenthesis square root of 3 minus square root of 2 plus 1 right parenthesis over denominator 4 end fraction close curly brackets

Answered by  | 18th Feb, 2022, 01:39: PM