Question

1+√2÷2-√2 rationalis the denminator

Answer 1

Answer:

4+3√2

Step-by-step explanation:

Given:

• 1 + √2 / 2 – √2

† Rationalising the denominator †

$\small\implies{\sf }$ 1+√2 /2–√2 x 2+√2/ 2+√2

$\small\implies{\sf }$ 1(2+√2)+√2(2+√2) / (2)² – (√2)²...........[a²–b² = (a+b)(a–b)]

$\small\implies{\sf }$ 2+√2+2√2+2 / 4–2

$\small\implies{\sf }$ 4+3√2 / 1

Hence, The answer is 4+3√2