What is (1+1/(sqrt(3)))/(1-1/(sqrt(3))) ?

The solution to (1+1/(sqrt(3)))/(1-1/(sqrt(3))) is 2+sqrt(3)

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simplify (1+1/(sqrt(3)))/(1-1/(sqrt(3)))

simplify

\frac{1 + \frac{1}{3}}{1 - \frac{1}{3}}

2 + 3

Decimal Notation

3.73205 \dots

Solution steps

\frac{1 + \frac{1}{3}}{1 - \frac{1}{3}}

1 + \frac{1}{3} = \frac{3 + 1}{3}

= \frac{\frac{3 + 1}{3}}{1 - \frac{1}{3}}

1 - \frac{1}{3} = \frac{3 - 1}{3}

= \frac{\frac{3 + 1}{3}}{\frac{3 - 1}{3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 3 + 1 ) 3}{3 ( 3 - 1 )}

Cancel

\frac{( 3 + 1 ) 3}{3 ( 3 - 1 )} : 2 + 3

= 2 + 3

3 x^{2} - 19 x + 20

16 s^{2} - 64 s + 60

5 x (x - 2) = 0

x^{2} + 1 0^{2} = 1 4^{2}

5 x^{2} + 7 x + 25 x^{2} + 7 x + 2

What is (1+1/(sqrt(3)))/(1-1/(sqrt(3))) ?
The solution to (1+1/(sqrt(3)))/(1-1/(sqrt(3))) is 2+sqrt(3)