Math, asked by bhatiaaditi4465, 1 year ago

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

Answers

Answered by venkatrr2004ovss6a
6

Here's the answer

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Answered by shivin2004
3

Step-by-step explanation:

Let us assume that5+3√2is an rational number

5+3√2=p/q(where p and q are coprime integers and q not equal to 0)

3√2=p-5

√2=(p-5)/3

We know that √2 is irrational.

This becomes a contradiction of our assumption.

Hence 5+3√2 is irrational number

Hope it helps......

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