Rationalise the denominator of the following 1/√7-√6

Asked by arorareeta537 | 15th Jan, 2021, 08:33: PM

Expert Answer:

begin mathsize 16px style fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction
equals fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction cross times fraction numerator square root of 7 plus square root of 6 over denominator square root of 7 plus square root of 6 end fraction
equals fraction numerator square root of 7 plus square root of 6 over denominator open parentheses square root of 7 close parentheses squared minus open parentheses square root of 6 close parentheses squared end fraction
equals fraction numerator square root of 7 plus square root of 6 over denominator 7 minus 6 end fraction
equals square root of 7 plus square root of 6 end style

Answered by Yasmeen Khan | 16th Jan, 2021, 11:09: PM