What is 2/(sqrt(2-\sqrt{3))} ?

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

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simplify 2/(sqrt(2-\sqrt{3))}

simplify

\frac{2}{2 - 3}

2 (2 + 3) 2 - 3

Decimal Notation

3.86370 \dots

Solution steps

\frac{2}{2 - 3}

Multiply by the conjugate

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

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

2 - 3 2 - 3 = 2 - 3

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

Multiply by the conjugate

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

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

(2 - 3) (2 + 3) = 1

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

Apply rule

\frac{a}{1} = a

= 2 (2 + 3) 2 - 3

\frac{1}{2} \cdot 24

\frac{80}{15}

\frac{( 14 x - 6 y )}{2}

\frac{( 2 \cdot π )}{3}

(x^{2} + \frac{2}{x})^{10}

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