Question

Prove that 1+root2 is irrational[detailed answer]

Answer 1

Step-by-step explanation:

Let us assume that 1+√2 is a rational number.

Their exists integers be p and q, such that

1+√2=p/ q

√2=p/q -1

√2=p-1q/1q

therefore,

√2 is a rational number

p-1q/1q is also a rational number

But our assumption is wrong

√2 is an irrational number

so,1+√2 is an irrational number

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Answer 2

Answer:

yes mate...and btw ..tq for thanking...and btw...annisarli enduku

Step-by-step explanation:

1 +root2 =p/q..

root 2=p-q/q...

if root 2 is rational thn 1+root 2 is rational....but hre root2 is irrational...so 1+root 2 is also irrational....

hope this helps uhh...

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