What is expand (5(5+sqrt(65)))/4 ?

The solution to expand (5(5+sqrt(65)))/4 is 25/4+(5sqrt(65))/4

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expand (5(5+sqrt(65)))/4

expand

\frac{5 ( 5 + 65 )}{4}

\frac{25}{4} + \frac{5 65}{4}

Decimal Notation

16.32782 \dots

Solution steps

\frac{5 ( 5 + 65 )}{4}

Expand

5 (5 + 65) : 25 + 565

= \frac{25 + 5 65}{4}

Apply the fraction rule:

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

\frac{25 + 5 65}{4} = \frac{25}{4} + \frac{5 65}{4}

= \frac{25}{4} + \frac{5 65}{4}

\frac{( a + b ) ( a - b )}{2 a ( 1 - b )}

x (x + \frac{1}{2}) (x - \frac{1}{2})

(- i, - 2 j, 3 k) \cdot (- 3 i, 0 j, k)

\frac{7 x ^{2} + 5 x + 7}{( x - 2 ) ( x ^{2} + 2 x + 1 )}

(161 - \frac{x}{10}) \cdot x

What is expand (5(5+sqrt(65)))/4 ?
The solution to expand (5(5+sqrt(65)))/4 is 25/4+(5sqrt(65))/4