Request a call back

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

CBSE Class 10 Answered

prove that 1/root 7 is an irrational number
Asked by dangerdolane | 08 Apr, 2019, 08:24: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space us space assume space that space fraction numerator 1 over denominator square root of 7 end fraction space be space straight a space rational space number.
rightwards double arrow fraction numerator 1 over denominator square root of 7 end fraction equals space straight a over straight b space space space left parenthesis where space space straight a space and space straight b space are space co minus prime space and space straight b space not equal to space 0 space right parenthesis
rightwards double arrow square root of 7 space equals space straight b over straight a
We space know space that space square root of 7 space is space an space irrational space space number space but space straight b over straight a space is space space straight a space rational space number.

rightwards double arrow our space assumption space was space wrong.
rightwards double arrow fraction numerator 1 over denominator square root of 7 end fraction space is space an space irrational space space number.



end style
Answered by Yasmeen Khan | 09 Apr, 2019, 09:52: AM
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
×