Question

 If x= √5 + 2, then x - 1/x , equals

1 point

2√5

4

2

√5​

Answer 1

Answer:

correct answer: 4

Step-by-step explanation:

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Answer 2

$\huge\bigstar{\sf{\blue{Question:-}}}$

If x = $\large \sqrt {5} + 2$, then $\large x – \frac {1}{x} = ?$

Options:-

2√5

4

2

√5

$\huge\bigstar{\sf{\blue{Answer:-}}}$

4

Step by Step Explanation:-

Given that: x = $\large \sqrt {5} + 2$, Hence,

$\large \frac {1}{x} = \frac {1}{ \sqrt {5} + 2}$

So, we need to find out $\large x – \frac {1}{x}$

We know that rationalization factor of √5 + 2 is √5 - 2.

Therefore,

$\large x – \frac {1}{x} = \sqrt {5} + 2 – ( \sqrt {5} – 2)$

$\large = \sqrt {5} + 2 – \sqrt {5} – 2$

$\large = 2 + 2 = 4$