CBSE Class 10 Answered
prove that 4-root 3 is an irrational number
Asked by varalakshmikeerthana | 04 Mar, 2019, 07:50: AM
Expert Answer
If 4√3 is a rational number then we have, 4√3 = a/b ...............(1)
where a nad b are integers.
From eqn. (1), we can write, √3 = a/(4b) = a/c ............(2)
where c is another integer. But √3 is irrational and can not be expressed in the form of a/c if a and c are integers.
This contradiction is due to our assumption 4√3 is rational number. Hence 4√3 is irrational number
Answered by Thiyagarajan K | 04 Mar, 2019, 08:13: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mraniruddha03 | 02 Apr, 2024, 06:44: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mustafahssn786 | 23 Mar, 2024, 06:25: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by choudharyniki001 | 22 Mar, 2024, 08:49: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jagdishdabang79 | 18 Mar, 2024, 08:40: PM
ANSWERED BY EXPERT