Question

I
Rationalise
the
denominator and
simplify.
√2+1÷√2-1​

Answer 1

Answer:

see above picture. ...

Answer 2

√2+1/√2-1

(Rationalise)

=> √2+1/√2-1 × √2+1/√2+1

[(a+b)×(a-b) = a square - b square]

Therefore, (√2+1) square/ (√2) square - (1) square

=> (√2+1) square/ 2-1

=> (√2+1) square/ 1

=> (√2+1) square

[(a+b) square = (a) square + (b) square + 2×a×b]

(√2) square + (1) square + 2×√2×1

=> 2 + 1 + 2√2

=> 3+ 2√2

Therefore, ans= 3+2√2