Question

prove that root3 plus root4 is an irrational number

Answer 1

HI Friend !!

Lets assume that :
√3 + √4 is rational.

√3 + √4 = r , where r is rational

Squaring both sides , we get

[√3 + √4 ]² = r²

3 + 2√12 + 4 = r²

7 + 2√12 = r²

2√12 = r² - 6

√12 = [ r² - 6] / 2

R.H.S is purely rational , whereas , L.H.S is irrational.
This is a contradiction.
This means that our assumption was wrong.
Hence , √3 + √4 is irrational.

Answer 2

hope it will help you .....