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

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

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

simplify

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

2 - 3

Solution steps

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

Multiply by the conjugate

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

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

Expand

(3 - 3) (3 - 3) : 12 - 63

Expand

(3 + 3) (3 - 3) : 6

= \frac{12 - 6 3}{6}

Factor out common term

6 : 6 (2 - 3)

= \frac{6 ( 2 - 3 )}{6}

Cancel the common factor:

6

= 2 - 3

x - 3 x + 2 \leq 0

24 3^{- \frac{2}{5}}

- ∣ - 7 ∣

(1 - i)^{2}

- 6 x^{2} - x + 2 = 0

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