.
let us assume that 3+√4 is a rational number
=3+√4=p/q(where p,q are integers,q is not equal to 0)
√4=3-p\q
√4=3q-p\q
Here 3q-p\q is integer so it is a rational number
but it contradicts that √4 is irrational
Hence,our assumption is wrong that 3+√4 is rational
therefore, 3+√4 is irrational number
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Here's your answer
.
.
.
let us assume that 3+√4 is a rational number
=3+√4=p/q(where p,q are integers,q is not equal to 0)
√4=3-p\q
√4=3q-p\q
Here 3q-p\q is integer so it is a rational number
but it contradicts that √4 is irrational
Hence,our assumption is wrong that 3+√4 is rational
therefore, 3+√4 is irrational number
.
.
.
Hope it helps you!!!