What is expand (3(14+sqrt(106)))/4 ?

The solution to expand (3(14+sqrt(106)))/4 is 21/2+(3sqrt(53))/(2sqrt(2))

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expand (3(14+sqrt(106)))/4

expand

\frac{3 ( 14 + 106 )}{4}

\frac{21}{2} + \frac{3 53}{2 2}

Solution steps

\frac{3 ( 14 + 106 )}{4}

Expand

3 (14 + 106) : 42 + 3106

= \frac{42 + 3 106}{4}

Apply the fraction rule:

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

\frac{42 + 3 106}{4} = \frac{42}{4} + \frac{3 106}{4}

= \frac{42}{4} + \frac{3 106}{4}

Cancel

\frac{42}{4} : \frac{21}{2}

= \frac{21}{2} + \frac{3 106}{4}

Cancel

\frac{3 106}{4} : \frac{3 53}{2 2}

= \frac{21}{2} + \frac{3 53}{2 2}

x sin (y) d y + (x^{3} - 2 x^{2} cos (y) + cos (y)) d x

(1 + x) cos (x)

(x^{2} - y^{2} + 1 - 1) (x^{2} - y^{2} + 1 + 1)

(x + c)^{2} + y^{2}

\frac{x ( 18 - x ) ( 36 - x )}{6}

What is expand (3(14+sqrt(106)))/4 ?
The solution to expand (3(14+sqrt(106)))/4 is 21/2+(3sqrt(53))/(2sqrt(2))