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Sequence

If a=2+1, the...

Question

If $a = \sqrt{2} + 1$ , then find the value of $a - \frac{1}{a}$ .

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Solution

Given that, hence is given as

.we are asked to find

We know that rationalization factor for is . We will multiply each side of the given expression by, to get

Therefore,

Hence value of the given expression is.

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