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Popular >

simplify 5/(2+sqrt(5))

Solution

simplify

\frac{5}{2 + 5}

Solution

- 10 + 55

+1

Solution steps

\frac{5}{2 + 5}

Multiply by the conjugate

\frac{2 - 5}{2 - 5}

= \frac{5 ( 2 - 5 )}{( 2 + 5 ) ( 2 - 5 )}

Expand

5 (2 - 5) : 10 - 55

Expand

(2 + 5) (2 - 5) : - 1

= \frac{10 - 5 5}{- 1}

\frac{10 - 5 5}{- 1} = - 10 + 55

= - 10 + 55

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Frequently Asked Questions (FAQ)

What is 5/(2+sqrt(5)) ?
The solution to 5/(2+sqrt(5)) is -10+5sqrt(5)