What is ((sqrt(2)-7))/((sqrt(2)+4)) ?

The solution to ((sqrt(2)-7))/((sqrt(2)+4)) is -(30-11sqrt(2))/(14)

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simplify ((sqrt(2)-7))/((sqrt(2)+4))

simplify

\frac{( 2 - 7 )}{( 2 + 4 )}

- \frac{30 - 11 2}{14}

Solution steps

\frac{2 - 7}{2 + 4}

Multiply by the conjugate

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

= \frac{( 2 - 7 ) ( 2 - 4 )}{( 2 + 4 ) ( 2 - 4 )}

Expand

(2 - 7) (2 - 4) : 30 - 112

Expand

(2 + 4) (2 - 4) : - 14

= \frac{30 - 11 2}{- 14}

Apply the fraction rule:

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

= - \frac{30 - 11 2}{14}

∣ x ∣ = (- 2 - 3)^{2} + (16 - 4)^{2}

\frac{4 - x}{3} - \frac{2}{5} \leq \frac{- 2 x - 3}{- 3}

5 y^{4} + 25 y^{3} - 70 y^{2}

0 = 2 x

lo g_{12} (100)

What is ((sqrt(2)-7))/((sqrt(2)+4)) ?
The solution to ((sqrt(2)-7))/((sqrt(2)+4)) is -(30-11sqrt(2))/(14)