Question

If a=√2+1/√2-1 and b= √2-1/√2+1, then find the value of a- b. (Send Solution) *

Answer 1

a=√2+1 b=√2-1

√2-1 √2+1

a-b =(√2+1). - (√2-1 )

(√2-1) (√2+1)

=√2+1)²-(√2-1)²

(√2-1)(√2+1)

=(2+1+2√2)-(2+1-2√2)

2-1

=(3+2√2)-(3-2√2)

1

=3+2√2-3+2√2

=4√2