What is sqrt((2+\sqrt{3))/(8+4sqrt(3))} ?

The solution to sqrt((2+\sqrt{3))/(8+4sqrt(3))} is 1/2

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simplify sqrt((2+\sqrt{3))/(8+4sqrt(3))}

simplify

\frac{2 + 3}{8 + 4 3}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\frac{2 + 3}{8 + 4 3}

Cancel

\frac{2 + 3}{8 + 4 3} : \frac{1}{4}

= \frac{1}{4}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{1}{4}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{4}

4 = 2

= \frac{1}{2}

(- 3 - i)^{3}

11664

1 0^{2.4}

- 3 + 312

\frac{2}{4} + \frac{5}{8}

What is sqrt((2+\sqrt{3))/(8+4sqrt(3))} ?
The solution to sqrt((2+\sqrt{3))/(8+4sqrt(3))} is 1/2