Question

prove √2+ 3/√2
no irrevalent answer..​

Answer 1

QUESTION⤵️

given that ✓2 is irrational, prove that ✓2+ 3/✓2 is an irrational number.

ANSWER⤵️

$Let \: x = \sqrt{2} + \frac{3}{ \sqrt{2} } \: is \: a \: rational \: number$

$x - \frac{3}{ \sqrt{2} } = \sqrt{2}$

since X is rational then

$x - \frac{3}{ \sqrt{2} } is \: also \: a \: rational$

and it also states that ✓2 is a rational number which is a contradiction

$⇒ HENCE \: \sqrt{2} + \frac{3}{ \sqrt{2} } is \: an \: irrational \: number$

$\purple{BE \: BRÃÎÑLY}$

Answer 2

Answer:

Answer in attachment.

Hope it will help you.