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

The solution to expand (5(3+sqrt(3)))/3 is 5+5/(sqrt(3))

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

expand

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

5 + \frac{5}{3}

Solution steps

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

Expand

5 (3 + 3) : 15 + 53

= \frac{15 + 5 3}{3}

Apply the fraction rule:

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

\frac{15 + 5 3}{3} = \frac{15}{3} + \frac{5 3}{3}

= \frac{15}{3} + \frac{5 3}{3}

Divide the numbers:

\frac{15}{3} = 5

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

Cancel

\frac{5 3}{3} : \frac{5}{3}

= 5 + \frac{5}{3}

- 3 (27 π^{3} - 1)

\frac{16}{( s ^{2} + 4 ) ^{2}}

(x^{2} + 2 x + 3)^{7}

(a + b x + cy + d x^{2} + e y^{2} + f x y)^{2}

\frac{5}{s ( s + 2 ) ^{2}}

What is expand (5(3+sqrt(3)))/3 ?
The solution to expand (5(3+sqrt(3)))/3 is 5+5/(sqrt(3))