Question

If x=√2-1/√2+1 and y=√2+1/√2-1, then find the value of x²+5xy + y² hint :x²+5xy+y²=(x+y²) +3xy

Answer 1

rationalising the denominator of the value of x and y we get

x=3-2√2 y=3+2√2

therefore ,

(x+y)² +3xy

= (3-2√2+3+2√2)²+3×(3-2√2)(3+2√2)

=6²+3×3²-(2√2)²

=36+3×1

=39

Answer 2

This is your answer............. .