What is (2-sqrt(5))/(sqrt(5)-4) ?

The solution to (2-sqrt(5))/(sqrt(5)-4) is -(-2sqrt(5)+3)/(11)

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simplify (2-sqrt(5))/(sqrt(5)-4)

simplify

\frac{2 - 5}{5 - 4}

- \frac{- 2 5 + 3}{11}

Decimal Notation

0.13383 \dots

Solution steps

\frac{2 - 5}{5 - 4}

Multiply by the conjugate

\frac{5 + 4}{5 + 4}

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

Expand

(2 - 5) (5 + 4) : - 25 + 3

Expand

(5 - 4) (5 + 4) : - 11

= \frac{- 2 5 + 3}{- 11}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{- 2 5 + 3}{11}

\frac{3}{2 x} - \frac{9}{2 x ^{2}}

\frac{2}{3 6}

\frac{1}{3} \times (- 4)

8 \div 8

+ x^{4} + 4 x

What is (2-sqrt(5))/(sqrt(5)-4) ?
The solution to (2-sqrt(5))/(sqrt(5)-4) is -(-2sqrt(5)+3)/(11)