What is (sqrt(3)-4)/(sqrt(3)+4) ?

The solution to (sqrt(3)-4)/(sqrt(3)+4) is -(19-8sqrt(3))/(13)

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simplify (sqrt(3)-4)/(sqrt(3)+4)

simplify

\frac{3 - 4}{3 + 4}

- \frac{19 - 8 3}{13}

Decimal Notation

- 0.39566 \dots

Solution steps

\frac{3 - 4}{3 + 4}

Multiply by the conjugate

\frac{3 - 4}{3 - 4}

= \frac{( 3 - 4 ) ( 3 - 4 )}{( 3 + 4 ) ( 3 - 4 )}

Expand

(3 - 4) (3 - 4) : 19 - 83

Expand

(3 + 4) (3 - 4) : - 13

= \frac{19 - 8 3}{- 13}

Apply the fraction rule:

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

= - \frac{19 - 8 3}{13}

m^{2} - 8 m

x^{2} - 28 = 0

1.25

\frac{1 6 ^{\frac{5}{4}} \cdot 1 6 ^{\frac{1}{4}}}{( 16 ) ^{2}}

\frac{1}{\frac{1}{12}}

What is (sqrt(3)-4)/(sqrt(3)+4) ?
The solution to (sqrt(3)-4)/(sqrt(3)+4) is -(19-8sqrt(3))/(13)