Request a call back

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

CBSE Class 9 Answered

How to prove that square-root of 'n'(a natural number) is irrational?
Asked by Vashi Vyas | 08 Sep, 2013, 07:39: PM
Expert Answer
Answer :
 

Assume x=m/n where mbelongs to Z and nbelongs to N

this implies x=sqaure root(m)/ square root(n)

which means that for an integer to have a rational root it's root must be the ratio of two integer roots. For this ratio to not be an integer m and n must be distinct which implies that x is not an integer quantity.

From contradiction Hence Proved

Answered by | 09 Sep, 2013, 12:43: PM
CBSE 9 - Maths
Asked by zbano7424 | 07 Jul, 2022, 08:18: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
1*1
Asked by muradesrushti66 | 06 Jul, 2022, 08:50: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by yadram9728853493 | 25 Jun, 2022, 11:16: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by devenderjuneja7 | 20 Jun, 2022, 02:42: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by boppudiaruna1983 | 11 Jun, 2022, 10:14: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by prashanthprashanth38217 | 06 Jun, 2022, 10:04: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by suzanesharma307 | 22 May, 2022, 05:56: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Khetwanikaran9 | 18 May, 2022, 07:49: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by nisalya.thakkar | 17 May, 2022, 10:32: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by sunaina.sharma1202 | 07 May, 2022, 08:54: PM
ANSWERED BY EXPERT
Season Break Offer!
Get 60% Flat off instantly.
Avail Now
×