If x= √5 + 2, then x – 1/x , equals 1 point 2√5 4 2 √5​

Question

 If x= √5 + 2, then x – 1/x , equals

1 point

2√5

4

2

√5​

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Alexandra 1 week 2021-11-22T00:22:38+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-22T00:23:50+00:00

    Answer:

    correct answer: 4

    Step-by-step explanation:

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    0
    2021-11-22T00:24:13+00:00

    \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

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