CBSE Class 10 Answered
If 'a' is a non-zero rational number and 'b' an irrational number, then prove that 'a' square root 'b' is irrational.
Asked by | 01 May, 2011, 03:12: AM
Expert Answer
let us assume on the contrary that a?b is rational. then there exist co-prime integers x and y such that,
this implies, a?b=x/y
this implies, ?b=x/ay
this implies, ?b is rational [therefore,a,x and y are integers then x/ay is a rational number]
this contradicts the fact that ?b is rational no.. so our assumption is not correct.
hence a?b is an irrational number.
Answered by | 30 Apr, 2011, 10:19: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sagarmishra | 14 Mar, 2024, 12:11: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by apekshab05918 | 15 Feb, 2024, 11:29: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sitalagrawal969 | 21 Jan, 2024, 11:48: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bhaskrraobhaskrrao | 18 Jan, 2024, 08:35: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by randhirpandey196 | 16 Jan, 2024, 03:29: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by scs902692 | 11 Jan, 2024, 08:49: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by reddyjaswamth | 10 Jan, 2024, 01:49: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dc5756069 | 09 Jan, 2024, 07:35: AM
ANSWERED BY EXPERT