Question

a=$\frac{2}{ \sqrt{3+1} } +3- \sqrt{3}$
b=$\frac{2}{( \sqrt{2}+1) ^{2}} +(2+ \sqrt{2}) ^{2}$

Answer 1

A=2/(√3+1)=2(√3-1)/3-1=2(√3-1)/2=√3-1
a=√3-1+3-√3
a=2

b=
2/(√2+1)²=2/(2+2√2+1)=2/(2√2+3)=2(2√2-3)/(8-9)=-2(2√-3)=6-4√2
(2+√2)²=4+4√2+2=6+4√2
b=6-4√2+6+4√2
b=12