Question

Answer the following question :​

Answer 1

Answer:

By rationalisation , you will get (√2+1)² inside the square root which when come outside the root , becomes √2+1.

So, answer is √2+1=2.4142

Answer 2

Answer:

$\sqrt{2 } = 1.4142 \\ \sqrt{ \frac{ \sqrt{2} + 1}{ \sqrt{2} - 1} } = \sqrt{ \frac{1.4142 + 1}{1.4142 - 1} } \\ = \sqrt{ \frac{2 .4142}{0.4142} } = \sqrt{5.828} \\ = 2.414$