Request a call back

Join NOW to get access to exclusive study material for best results

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
question image
Asked by rusuishika | 16 Jan, 2021, 23:04: PM
answered-by-expert 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, 13:48: PM
CBSE 10 - Maths
Asked by srasheeda771 | 29 Jun, 2024, 08:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by boralpritam188 | 12 Jun, 2024, 15:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by tanishkagurung | 11 Jun, 2024, 11:38: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bhumikabhardwaj2204 | 02 Jun, 2024, 05:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pimpleroshan2009 | 24 May, 2024, 13:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 13:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by reddyjaswamth | 10 Jan, 2024, 13:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pv925403 | 07 Jan, 2024, 19:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by meelunaresh | 02 Jan, 2024, 10:09: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Are You a Teacher or a Parent Seeking Customised Tests? Click here
×