Question

If a= 2 + √3, then find the value of a-1/a
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Answer 1

Answer:

the ans of this ques is 2√3

Answer 2

Answer:

8

Explanation:

given=

$\sqrt{2 + 1}$

now 1/a

$1 \sqrt{2 + 1}$

=

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

$= \sqrt{2 - 1} \sqrt{2)2 - 1 \: 2}$

$= \sqrt{2 - 1 \: \: \: 2 - 1}$

$\sqrt{2 - 1}$

now a-1/a

$= \sqrt{2 + 1 -( \sqrt{2 + 1}$

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

=2 3=8