What is (-1)/(-4+sqrt(7)) ?

The solution to (-1)/(-4+sqrt(7)) is (4+sqrt(7))/9

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simplify (-1)/(-4+sqrt(7))

simplify

\frac{- 1}{- 4 + 7}

\frac{4 + 7}{9}

Decimal Notation

0.73841 \dots

Solution steps

\frac{- 1}{- 4 + 7}

Multiply by the conjugate

\frac{- 4 - 7}{- 4 - 7}

= \frac{- 1 \cdot ( - 4 - 7 )}{( - 4 + 7 ) ( - 4 - 7 )}

Expand

- 1 \cdot (- 4 - 7) : 4 + 7

Expand

(- 4 + 7) (- 4 - 7) : 9

= \frac{4 + 7}{9}

sin (x) + cot (x) cos (x)

(x^{2} + 3) (x - 4)

8 x^{2} - 14 x y + 3 y^{2}

\frac{1}{2 - 5}

1 0^{5} \times 1 0^{3}