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CBSE Class 10 Answered

whether 2under root 45/ 2 underoot 5 + 3 underroot 20 / 2 underoot 5 on simplification gives a rational or an irrational number
Asked by rusuishika | 16 Jan, 2021, 11:04: PM
Expert Answer
begin mathsize 16px style fraction numerator 2 square root of 45 over denominator 2 square root of 5 end fraction plus fraction numerator 3 square root of 20 over denominator 2 square root of 5 end fraction
equals fraction numerator 2 square root of 9 cross times 5 end root over denominator 2 square root of 5 end fraction plus fraction numerator 3 square root of 4 cross times 5 end root over denominator 2 square root of 5 end fraction
equals fraction numerator 2 cross times 3 square root of 5 over denominator 2 square root of 5 end fraction plus fraction numerator 3 cross times 2 square root of 5 over denominator 2 square root of 5 end fraction
equals fraction numerator 6 square root of 5 plus 6 square root of 5 over denominator 2 square root of 5 end fraction
equals fraction numerator 12 square root of 5 over denominator 2 square root of 5 end fraction
equals 6
So comma space fraction numerator 2 square root of 45 over denominator 2 square root of 5 end fraction plus fraction numerator 3 square root of 20 over denominator 2 square root of 5 end fraction space on space simplification space gives space straight a space rational space number.
end style
Answered by Yasmeen Khan | 18 Jan, 2021, 01:48: PM
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