Question

A student wrote that (√3+√2) ^2=3+2 is it correct if not what is the correct one?​

Answer 1

It is not correct. The correct one is 3+2+2root6 = 5+2root6

Answer 2

Answer:

$5 + 2 \sqrt{6}$

Step-by-step explanation:

(a+b) ^2=a^2 + b^2 + 2ab

$( { \sqrt{3} } + \sqrt{2} )^{2} = \sqrt{3} ^{2} + \sqrt{2} ^{2} + 2 \sqrt{3} \sqrt{2} \\ = 3 + 2 + 2 \sqrt{6} \\ = 5 + 2 \sqrt{6}$

I hope this will help you