If x-5-2- then x-1 x equalsa 25b 4c 2d 5

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Standard IX

Mathematics

Sequence

If x=5+2, the...

Question

If x = $\sqrt{5} + 2$ , then $x - \frac{1}{x}$ equals

(a) $2 \sqrt{5}$

(b) 4

(c) 2

(d) $\sqrt{5}$

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Solution

Given that.Hence is given as

.We need to find

We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Therefore,

Hence the correct option is.

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If x = 5+2, then x-1x equals (a) 25 (b) 4 (c) 2 (d) 5

Given that.Hence is given as .We need to find We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get Therefore, Hence the correct option is.

If x = $\sqrt{5} + 2$ , then $x - \frac{1}{x}$ equals

(a) $2 \sqrt{5}$

(b) 4

(c) 2

(d) $\sqrt{5}$

Given that.Hence is given as

.We need to find

We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Therefore,

Hence the correct option is.