Request a call back

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

# CBSE Class 10 Answered

prove that + is an irrational.
Asked by poshi.mails | 20 Feb, 2019, 10:33: PM
Expert Answer
Let us assume √3 + √5 is rational number

Hence   √3 + √5 = a/b  ..............(1)

where a and b are integers, there is no common factor between a and b

we write eqn.(1)  as,  √3  = (a/b) - √5  ........................(2)

By squaring both sides,  3 = (a2 / b2 ) + 5 - 2√5(a/b)

-2  -(a2 / b2 ) = -2√5(a/b)

(b/a) ( 2b2 + a2 )/(2b2)  = √5

we get LHS as rational number , but RHS is irrational number. This is contradiction.

Hence √3 + √5 is not a rational number. It is an irrational number
Answered by Thiyagarajan K | 21 Feb, 2019, 12:21: AM

## Concept Videos

CBSE 10 - Maths
Asked by pimpleroshan2009 | 24 May, 2024, 01:13: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sahooashutosh781 | 21 May, 2024, 01:26: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sahooashutosh781 | 20 May, 2024, 01:41: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sweetsmiley9 | 20 May, 2024, 10:50: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kmd568070 | 16 May, 2024, 12:12: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vinitbathija26 | 11 May, 2024, 06:07: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by biswajitgope404 | 09 May, 2024, 09:30: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vishalgunjan13 | 09 May, 2024, 02:13: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mukammilh19 | 07 May, 2024, 02:28: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by laxman44verma | 01 May, 2024, 09:46: PM
ANSWERED BY EXPERT