Question

prove that 3+√2 is an irrational​

Answer 1

Answer:

Hey!❤️

Let us assume, to the contrary, that 3 +√2 is

rational. Then, there exist co-prime positive integers a and b such that3 +√2

= ba

⇒ 2

=3ba

⇒ 2 is rational ...[∵3,a and b are integers∴

3b a is a rational number]

This contradicts the fact that 2 is irrational.

So, our assumption is not correct.

Hence, 3+ √2

Hope it will be helpful ✌️

is an irrational number

Answer 2

Step-by-step explanation:

$hello \: moto$

◆◆ HERE IS THE MOST SIMPLE PROOF & EASY TO UNDERSTAND◆◆

◆Let 3√2 be Rational Number.

So if this is Rational;

3√2=0

=>√2=0/3

=>√2=0

But, we know that √2 is Irrational which is equal to 0 which is Rational.

Hence, This Contradicts our statement.

◆Hence 3√2 is Irrational◆

HOPE it helps