Question

if a=√2+1 ,then find the value of (a-1/a)

Answer 1

Hi friend!!

Given,

a=√2+1

1/a=1/(√2+1)

Multiplying and dividing with √2-1, we get

1/a=(√2-1)/(√2-1)(√2+1)

=(√2-1)/(2-1)

=√2-1

Now a-1/a

=√2+1-√2+1

=2

I hope this will help you ;)

Answer 2

Hi friend!
Here is your Answer
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Given that
a = √2+1
now
$\frac{1}{a} = \frac{1}{ \sqrt{2} + 1 } \\ \\ now \: multiply \: \sqrt{2 } - 1 \: upper \: and \: bottom \: side \\ we \: get \\ = \frac{ \sqrt{2} - 1}{2 - 1} \\ \frac{1}{a} = \sqrt{2} - 1 \\ now \\ a - \frac{1}{a} = \sqrt{2} + 1 - \sqrt{2} + 1 \\ a - \frac{1}{a} = 2 \: ans \\ \\ hope \: its \: helpful$