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

The solution to (2+sqrt(3))/(2-sqrt(3)) is 7+4sqrt(3)

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

simplify

\frac{2 + 3}{2 - 3}

7 + 43

Solution steps

\frac{2 + 3}{2 - 3}

Multiply by the conjugate

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

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

Expand

(2 + 3) (2 + 3) : 7 + 43

Expand

(2 - 3) (2 + 3) : 1

= \frac{7 + 4 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 7 + 43

4 x^{2} - 6 = 74

- (2 x + 4) = 18

\frac{2 x}{9} - \frac{3 x}{7} = 13

\frac{a ^{2} + 10 a + 25}{a ^{2} - 25}

lo g_{121} (11)

What is (2+sqrt(3))/(2-sqrt(3)) ?
The solution to (2+sqrt(3))/(2-sqrt(3)) is 7+4sqrt(3)