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

Decimal Notation

0.07179 \dots

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

u^{2} - 12 u + 36

(\frac{15}{8})^{2}

4 x^{3} - 24 x^{2} + 96 x - 64

6 \cdot 2.5 x \cdot x = 2160

∣ x - 3 ∣ + 3 = 7

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