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

The solution to (5+sqrt(3))/(2-sqrt(3)) is 13+7sqrt(3)

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

simplify

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

13 + 73

Solution steps

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

Multiply by the conjugate

\frac{2 + 3}{2 + 3}

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

Expand

(5 + 3) (2 + 3) : 13 + 73

Expand

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

= \frac{13 + 7 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 13 + 73

4 x^{2} - 15 x - 25

8^{2} + 1 6^{2}

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

\frac{n}{8} + 16 = 64

7 x - 8 \leq 34

What is (5+sqrt(3))/(2-sqrt(3)) ?
The solution to (5+sqrt(3))/(2-sqrt(3)) is 13+7sqrt(3)