What is (13)/(3+sqrt(11)) ?

The solution to (13)/(3+sqrt(11)) is -(39-13sqrt(11))/2

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simplify (13)/(3+sqrt(11))

simplify

\frac{13}{3 + 11}

- \frac{39 - 13 11}{2}

Decimal Notation

2.05806 \dots

Solution steps

\frac{13}{3 + 11}

Multiply by the conjugate

\frac{3 - 11}{3 - 11}

= \frac{13 ( 3 - 11 )}{( 3 + 11 ) ( 3 - 11 )}

Expand

13 (3 - 11) : 39 - 1311

Expand

(3 + 11) (3 - 11) : - 2

= \frac{39 - 13 11}{- 2}

Apply the fraction rule:

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

= - \frac{39 - 13 11}{2}

\frac{6 a}{3 a - 2} - \frac{4}{3 a - 2}

(2 a - z)^{4}

\frac{x}{x + 5}

(x^{2} - 4 x)^{2} - 3 (x^{2} - 4 x) - 10

(c^{2} - 0.7 c^{3})^{2}

What is (13)/(3+sqrt(11)) ?
The solution to (13)/(3+sqrt(11)) is -(39-13sqrt(11))/2