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Popular >

simplify 8/(2+sqrt(5))

Solution

simplify

\frac{8}{2 + 5}

Solution

- 16 + 85

+1

Decimal Notation

1.88854 \dots

Solution steps

\frac{8}{2 + 5}

Multiply by the conjugate

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

= \frac{8 ( 2 - 5 )}{( 2 + 5 ) ( 2 - 5 )}

Expand

8 (2 - 5) : 16 - 85

Expand

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

= \frac{16 - 8 5}{- 1}

\frac{16 - 8 5}{- 1} = - 16 + 85

= - 16 + 85

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Frequently Asked Questions (FAQ)

What is 8/(2+sqrt(5)) ?
The solution to 8/(2+sqrt(5)) is -16+8sqrt(5)