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ICSE Class 9 Answered

Rationalise the following expression:

√(3-√5)/√(3+√5)

Asked by sujalarora204 | 25 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
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