Question

Given that √2 is irrational, prove that (5+3√2) is an irrational number.

Pls tell fasttttt..

Its urgent....

Answer 1

The steps are given along with the attachment.

Pls mark me brainliest if u liked it

Answer 2

Hey Mate..!!

Here's Your Answer..!!

Given: √2 is irrational.

To Prove: 5+3√2 is irrational.

Let us just assume that 5+3√2 is rational.

As we know that rational numbers are in the form of p/q.
So, if 5+3√2 is rational (as we have assumed) it must be in p/q form where q≠0.

Then,
5+3√2 = p/q
3√2 = p/q-5
3√2 = p-5q/q
√2 = p-5q/3q

We know that, √2 is irrational and
p-5q/3q is rational.

And, Rational≠Irrational

Therefore, 5+3√2 is irrational.

Hence Proved.

Hope This Helps..!!

#BeBrainly❤️