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Popular >

simplify 4/(2+sqrt(5))

Solution

simplify

\frac{4}{2 + 5}

Solution

- 8 + 45

+1

Decimal Notation

0.94427 \dots

Solution steps

\frac{4}{2 + 5}

Multiply by the conjugate

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

= \frac{4 ( 2 - 5 )}{( 2 + 5 ) ( 2 - 5 )}

Expand

4 (2 - 5) : 8 - 45

Expand

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

= \frac{8 - 4 5}{- 1}

\frac{8 - 4 5}{- 1} = - 8 + 45

= - 8 + 45

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Frequently Asked Questions (FAQ)

What is 4/(2+sqrt(5)) ?
The solution to 4/(2+sqrt(5)) is -8+4sqrt(5)