Question

Prove that V2 + V3 is irrational.
please please​

Answer 1

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▪️To prove = 2√3 is an irrational number.

▪️We shall prove this by the method of contradiction .

▪️so let us assume to the contrary that 2√3 is a rational number =r

▪️2√3=r

▪️√3=r/2

▪️Now we know that √3 is irrational number.

▪️SO, r/2 has to be irrational to make the equation true .

▪️This is a contradiction to our assumption . Thus our assumption is wrong .

▪️Therefore,2√3 is irrational .

Therefore,2√3 is irrational .↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔

Therefore,2√3 is irrational .↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔

Hope it helps you ✌✌

Answer 2

Let as assume that √2 + √3 is a rational number .

Then , there exists co - prime positive integers p and q such that

This contradicts the fact that √3 is irrational .

so assumption was incorrect . Here √2 + √3 is irrational.

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