Question

Find the value of a and b if under root 2+1 by under root 2-1 - under root 2-1 by under root 2+1=a+under root 2 b

Answer 1

Answer:

Step-by-step explanation: We have to rationalise both the terms on LHS--

√2+1/√2-1 * √2+1/√2+1 - √2-1/√2+1 * √2-1/√2-1

= (√2+1)²/(√2)²-1 - [(√2-1)²/(√2)²-1 ]

= 3+2√2/1 - [ 3-2√2/1 ]

= 3+2√2 - 3+2√2

=4√2 = a+√2b

So, a=0 and b=4