Question

rationalise the denominator of under root 2 plus one upon root two minus one​

Answer 1

Answer:

2root2 + 1

Step-by-step explanation:

root2 + 1/root2 - 1

Here, we have to rationalise only 1/root 2 - 1 .

Rationalizing factor of root2 - 1 = root2 + 1

1/root2 - 1 = 1/root2 - 1 × root2 + 1/root2 + 1

= root2 + 1/2 - 1 = root2 + 1

root2 + 1/root2 - 1 = root2 + root2 + 1 = 2root2 + 1