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

The solution to expand ((-2+sqrt(6))sqrt(2\sqrt{6)+5})/2 is -sqrt(2\sqrt{6)+5}+sqrt(3)+3/(sqrt(2))

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expand ((-2+sqrt(6))sqrt(2\sqrt{6)+5})/2

expand

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

- 26 + 5 + 3 + \frac{3}{2}

Decimal Notation

0.70710 \dots

Solution steps

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

Expand

(- 2 + 6) 26 + 5 : - 2 26 + 5 + 23 + 32

= \frac{- 2 2 6 + 5 + 2 3 + 3 2}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 2 2 6 + 5 + 2 3 + 3 2}{2} = - \frac{2 2 6 + 5}{2} + \frac{2 3}{2} + \frac{3 2}{2}

= - \frac{2 2 6 + 5}{2} + \frac{2 3}{2} + \frac{3 2}{2}

Divide the numbers:

\frac{2}{2} = 1

= - 26 + 5 + 3 + \frac{3 2}{2}

Cancel

\frac{3 2}{2} : \frac{3}{2}

= - 26 + 5 + 3 + \frac{3}{2}

\frac{x + 10}{5 ( x + 2 )}

(x y^{2} - k x^{2} y) d x + (x - y) x^{2} d y

\frac{d}{d x} ((3 x - 1) x^{2}) + \frac{x - 1}{x}

\frac{1 - t ^{2}}{( 1 + t ^{2} ) ^{2}}

(6 x + 9 y + 11) d x + (9 x - 4 y + 3) d y

What is expand ((-2+sqrt(6))sqrt(2\sqrt{6)+5})/2 ?
The solution to expand ((-2+sqrt(6))sqrt(2\sqrt{6)+5})/2 is -sqrt(2\sqrt{6)+5}+sqrt(3)+3/(sqrt(2))