What is (6+sqrt(27))/(4-sqrt(3)) ?

The solution to (6+sqrt(27))/(4-sqrt(3)) is (33+18sqrt(3))/(13)

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simplify (6+sqrt(27))/(4-sqrt(3))

simplify

\frac{6 + 27}{4 - 3}

\frac{33 + 18 3}{13}

Decimal Notation

4.93668 \dots

Solution steps

\frac{6 + 27}{4 - 3}

Multiply by the conjugate

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

= \frac{( 6 + 27 ) ( 4 + 3 )}{( 4 - 3 ) ( 4 + 3 )}

Expand

(6 + 27) (4 + 3) : 33 + 183

Expand

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

= \frac{33 + 18 3}{13}

\frac{5 x - 4}{3} \geq \frac{5}{9}

44 \cdot 5

2 x^{2} - 46 x + 252 = 0

x^{2} + 69 x + 70

5 (x - 2) = 2 (x - 1) + 2

What is (6+sqrt(27))/(4-sqrt(3)) ?
The solution to (6+sqrt(27))/(4-sqrt(3)) is (33+18sqrt(3))/(13)