Question

if a =1-root 2,find the value of (a-1/a)

Answer 1

Answer:

2

Step-by-step explanation:

$1 - \sqrt{2} - \frac{1}{1 - \sqrt{2} }$

$\frac{(1 - \sqrt{2) ^{2} } }{1 - \sqrt{2} } - \frac{1}{1 - \sqrt{2} }$

$\frac{1 + 2 - 2 \sqrt{2} - 1 }{1 - \sqrt{2} }$

$\frac{2(1 - \sqrt{2} )}{1 - \sqrt{2} }$

now answer is 2