Question

if
$\sqrt{2} - 1 \div \sqrt{2} + 1 = a \: + b \times \sqrt{2}$
then find a and b​

Answer 1

Answer:

a = 3 and b = -2

Step-by-step explanation:

a/q,

√2-1÷√2+1 = a×b√2

(√2-1)/(√2+1) = a×b√2

By rationalization,

(√2-1)²/(√2²-1²) = a×b√2

{(√2)²+1-2√2}/2-1 = a×b√2

2+1-2√2 = a×b√2

3-2√2 = a×b√2

by comparing,

a=3 and b= -2, ans..