What is 2/(4+sqrt(3)) ?

The solution to 2/(4+sqrt(3)) is (8-2sqrt(3))/(13)

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simplify 2/(4+sqrt(3))

simplify

\frac{2}{4 + 3}

\frac{8 - 2 3}{13}

Decimal Notation

0.34891 \dots

Solution steps

\frac{2}{4 + 3}

Multiply by the conjugate

\frac{4 - 3}{4 - 3}

= \frac{2 ( 4 - 3 )}{( 4 + 3 ) ( 4 - 3 )}

Expand

2 (4 - 3) : 8 - 23

Expand

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

= \frac{8 - 2 3}{13}

4 (5 y + 9)

(- 2 + 23 i)^{7}

- x (y - 6)

3 pq - 3 p q^{3} - 7 p^{3} q^{2} + 2

(3 - 3 i)^{4}