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

The solution to (sqrt(3)-2)/(5-2sqrt(3)) is (sqrt(3)-4)/(13)

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

simplify

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

\frac{3 - 4}{13}

Decimal Notation

- 0.17445 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

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

Expand

(5 - 23) (5 + 23) : 13

= \frac{3 - 4}{13}

(\frac{2 x ^{2} y}{5})^{2}

(6 x^{2} + 2 x) - (- 9 x^{2} - 10 x)

- x (4 x^{2} - 6 x + 1)

8 x^{3} + 64 y^{9}

- 2 (- 2) (- 4) (- 2)

What is (sqrt(3)-2)/(5-2sqrt(3)) ?
The solution to (sqrt(3)-2)/(5-2sqrt(3)) is (sqrt(3)-4)/(13)