Rationalise the following expression:

√(3-√5)/√(3+√5)

Asked by sujalarora204 | 25th May, 2021, 03:44: AM

Expert Answer:

TO rationalise √(3-√5)/√(3+√5)
fraction numerator square root of 3 minus square root of 5 end root over denominator square root of 3 plus square root of 5 end root end fraction
equals fraction numerator square root of 3 minus square root of 5 end root over denominator square root of 3 plus square root of 5 end root end fraction cross times fraction numerator square root of 3 minus square root of 5 end root over denominator square root of 3 minus square root of 5 end root end fraction
equals fraction numerator 3 minus square root of 5 over denominator square root of 9 minus 5 end root end fraction
equals fraction numerator 3 minus square root of 5 over denominator 2 end fraction

Answered by Renu Varma | 25th May, 2021, 11:21: AM