Question

Prove that √5 - √3 is not a rational number​

Answer 1

HERE'S YOUR ANSWER...

WE KNOW WE CAN PERFORM ANY OPERATION WITH THE NUKBERES INSIDE THE ROOT...

Therefore....

= √5 - √3

= √5 - 3

= √2 (which is irrational)

HENCE PROVED!

So we have reach to the end by finding the √5 - √3 is not a rational number.

HOPE IT WILL HELP YOU...

Answer 2

Answer:

We know that, any operation can be done with the numbers inside the root.

∴ $\sqrt{5}$ -$\sqrt{3\\}$

= $\sqrt{5-3}$

= $\sqrt{2}$

$\sqrt{2\\}$ is an irrational number.

∴ $\sqrt{5} - \sqrt{3}$ is not an irrational number.

Hence prooved

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