What is (sqrt(5))/(2sqrt(5-\sqrt{6))} ?

The solution to (sqrt(5))/(2sqrt(5-\sqrt{6))} is (sqrt(5)(5+sqrt(6))sqrt(5-\sqrt{6)})/(38)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(5))/(2sqrt(5-\sqrt{6))}

simplify

\frac{5}{2 5 - 6}

\frac{5 ( 5 + 6 ) 5 - 6}{38}

Decimal Notation

0.70007 \dots

Solution steps

\frac{5}{2 5 - 6}

Multiply by the conjugate

\frac{5 - 6}{5 - 6}

= \frac{5 5 - 6}{2 5 - 6 5 - 6}

2 5 - 6 5 - 6 = 10 - 26

= \frac{5 5 - 6}{10 - 2 6}

Factor out common term

- 2 : - 2 (6 - 5)

= - \frac{5 5 - 6}{2 ( 6 - 5 )}

Cancel

- \frac{5 5 - 6}{2 ( 6 - 5 )} : \frac{5 5 - 6}{2 ( 5 - 6 )}

= \frac{5 5 - 6}{2 ( 5 - 6 )}

Multiply by the conjugate

\frac{5 + 6}{5 + 6}

= \frac{5 5 - 6 ( 5 + 6 )}{2 ( 5 - 6 ) ( 5 + 6 )}

2 (5 - 6) (5 + 6) = 38

= \frac{5 ( 5 + 6 ) 5 - 6}{38}

- 4 \leq x < 5

\frac{1}{2 - 3 ( \frac{1}{4} )}

2 ∣ x + 2 ∣ - 3 > 5

35 x^{3} y^{2} - 40 x^{2} y^{2}

ln (x) + ln (y)

What is (sqrt(5))/(2sqrt(5-\sqrt{6))} ?
The solution to (sqrt(5))/(2sqrt(5-\sqrt{6))} is (sqrt(5)(5+sqrt(6))sqrt(5-\sqrt{6)})/(38)