What is 5/(-4-sqrt(6)) ?

The solution to 5/(-4-sqrt(6)) is (-4+sqrt(6))/2

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simplify 5/(-4-sqrt(6))

simplify

\frac{5}{- 4 - 6}

\frac{- 4 + 6}{2}

Decimal Notation

- 0.77525 \dots

Solution steps

\frac{5}{- 4 - 6}

Multiply by the conjugate

\frac{- 4 + 6}{- 4 + 6}

= \frac{5 ( - 4 + 6 )}{( - 4 - 6 ) ( - 4 + 6 )}

Expand

5 (- 4 + 6) : - 20 + 56

Expand

(- 4 - 6) (- 4 + 6) : 10

= \frac{- 20 + 5 6}{10}

Factor out common term

5 : 5 (- 4 + 6)

= \frac{5 ( - 4 + 6 )}{10}

Factor the number:

10 = 5 \cdot 2

= \frac{5 ( - 4 + 6 )}{5 \cdot 2}

Cancel the common factor:

5

= \frac{- 4 + 6}{2}

(3 x) (5 x)

9 \cdot 17

\frac{x ^{2} + 3 x - 10}{x ^{2} - x - 2}

l {t cos (2 t)}

lo g_{2} (22)