Question

if root 2 = 1.4142 then find the value of root 2 - 1 divided by root 2 + 1

Answer 1

$\frac{ \sqrt{2} - 1}{ \sqrt{2} + 1 } \\ = \frac{ (\sqrt{2} - 1))( \sqrt{2} - 1)}{( \sqrt{2} + 1)( \sqrt{2} - 1)} \\ = \frac{ {( \sqrt{2} - 1) }^{2} }{( { \sqrt{2} )}^{2} - ( {1)}^{2} } \\ = \frac{2 + 1 - 2 \sqrt{2} }{2 - 1} \\ = \frac{3 - 2 \sqrt{2} }{1} \\ = 3 - 2 \times 1.442 \\ = 3 - 2.884 \\ = 0.116 \: \: \: ans$

Answer 2

√{(√2-1)(√2+1)}

√{(√2)^2-(1^2)

√(2-1)

√1

1