What is expand (3(4+sqrt(5)))/(22) ?

The solution to expand (3(4+sqrt(5)))/(22) is 6/11+(3sqrt(5))/(22)

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expand (3(4+sqrt(5)))/(22)

expand

\frac{3 ( 4 + 5 )}{22}

\frac{6}{11} + \frac{3 5}{22}

Decimal Notation

0.85037 \dots

Solution steps

\frac{3 ( 4 + 5 )}{22}

Expand

3 (4 + 5) : 12 + 35

= \frac{12 + 3 5}{22}

Apply the fraction rule:

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

\frac{12 + 3 5}{22} = \frac{12}{22} + \frac{3 5}{22}

= \frac{12}{22} + \frac{3 5}{22}

Cancel

\frac{12}{22} : \frac{6}{11}

= \frac{6}{11} + \frac{3 5}{22}

(4 + 3 sin (x))^{2}

x^{2} e^{2 x} (3 + 2 x)

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

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

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

What is expand (3(4+sqrt(5)))/(22) ?
The solution to expand (3(4+sqrt(5)))/(22) is 6/11+(3sqrt(5))/(22)