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

The solution to simplify-2/(5+sqrt(3)) is -(5-sqrt(3))/(11)

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

simplify

- \frac{2}{5 + 3}

- \frac{5 - 3}{11}

Decimal Notation

- 0.29708 \dots

Solution steps

- \frac{2}{5 + 3}

Multiply by the conjugate

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

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

Expand

2 (5 - 3) : 10 - 23

Expand

(5 + 3) (5 - 3) : 22

= - \frac{10 - 2 3}{22}

Factor out common term

2 : 2 (5 - 3)

= - \frac{2 ( 5 - 3 )}{22}

Factor the number:

22 = 2 \cdot 11

= - \frac{2 ( 5 - 3 )}{2 \cdot 11}

Cancel the common factor:

2

= - \frac{5 - 3}{11}

16000 + 1600 d e m + 1500

20 x^{3} + 225 x^{2} - 180 x

4 x^{2} + 6 x + 8

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

\frac{1}{9} + \frac{4}{7} + \frac{6}{4}

What is simplify-2/(5+sqrt(3)) ?
The solution to simplify-2/(5+sqrt(3)) is -(5-sqrt(3))/(11)