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

The solution to (5+2sqrt(3))/(2+sqrt(3)) is 4-sqrt(3)

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

simplify

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

4 - 3

Solution steps

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

Multiply by the conjugate

\frac{2 - 3}{2 - 3}

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

Expand

(5 + 23) (2 - 3) : 4 - 3

Expand

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

= \frac{4 - 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 4 - 3

(- c^{2})^{3} \cdot 0.15 c^{4}

\frac{x}{2} + \frac{10}{x + 2}

(x - 1) \cdot (x - 3)

\frac{1}{\frac{5}{5}}

What is (5+2sqrt(3))/(2+sqrt(3)) ?
The solution to (5+2sqrt(3))/(2+sqrt(3)) is 4-sqrt(3)