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, 11:04: 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, 01:48: PM
CBSE 10 - Maths
Asked by reddyjaswamth | 10 Jan, 2024, 01:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pv925403 | 07 Jan, 2024, 07:32: 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
CBSE 10 - Maths
Asked by abdulqadirmohd028 | 22 Dec, 2023, 12:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by study96topper | 11 Dec, 2023, 07:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by appanaboinakhasim8 | 05 Dec, 2023, 07:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kanchandevi5268 | 03 Nov, 2023, 06:35: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by appusingh0840 | 29 Oct, 2023, 01:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jilsmendapara123 | 28 Jul, 2023, 02:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by susrisangita792 | 24 Apr, 2023, 09:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×