Question

proof that (2+√2)² is rational or not



pls quick reply needed
I'll mark brainliest
answer should be appropriate​

Answer 1

Answer:

$= > (2 {)}^{2} + 2(2)( \sqrt{2} ) + ( \sqrt{2} {)}^{2}$

$= > 4 + 4 \sqrt{2} + 2$

$= > 6 + 4 \sqrt{2}$

Since 6 -+4√2 is an irrational number ( As anything added with irrational number is an irrational number ), ( √2 + 2 )² is also an irrational number.