What is (5sqrt(3)+2)/(sqrt(3)-1) ?

The solution to (5sqrt(3)+2)/(sqrt(3)-1) is (17+7sqrt(3))/2

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simplify (5sqrt(3)+2)/(sqrt(3)-1)

simplify

\frac{5 3 + 2}{3 - 1}

\frac{17 + 7 3}{2}

Decimal Notation

14.56217 \dots

Solution steps

\frac{5 3 + 2}{3 - 1}

Multiply by the conjugate

\frac{3 + 1}{3 + 1}

= \frac{( 5 3 + 2 ) ( 3 + 1 )}{( 3 - 1 ) ( 3 + 1 )}

Expand

(53 + 2) (3 + 1) : 17 + 73

Expand

(3 - 1) (3 + 1) : 2

= \frac{17 + 7 3}{2}

\frac{x ^{2} + 5 x - 36}{x ^{2} - 49} \cdot (x^{2} - 11 x + 28)

tan (θ) cos (θ) csc (θ)

(2 m + n)^{5}

\frac{\frac{17}{18} - \frac{7}{9}}{- \frac{1}{9} - \frac{5}{9}}

(- 8 x^{3} + 6 x^{2} - 3 x - 2) - (10 x^{3} - 12 x^{2} + 2 x - 1)

What is (5sqrt(3)+2)/(sqrt(3)-1) ?
The solution to (5sqrt(3)+2)/(sqrt(3)-1) is (17+7sqrt(3))/2