What is (15+sqrt(3))/(10sqrt(3)) ?

The solution to (15+sqrt(3))/(10sqrt(3)) is (5sqrt(3)+1)/(10)

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simplify (15+sqrt(3))/(10sqrt(3))

simplify

\frac{15 + 3}{10 3}

\frac{5 3 + 1}{10}

Decimal Notation

0.96602 \dots

Solution steps

\frac{15 + 3}{10 3}

Multiply by the conjugate

\frac{3}{3}

= \frac{( 15 + 3 ) 3}{10 3 3}

(15 + 3) 3 = 153 + 3

1033 = 30

= \frac{15 3 + 3}{30}

Factor

153 + 3 : 3 (53 + 1)

= \frac{3 ( 5 3 + 1 )}{30}

Cancel the common factor:

3

= \frac{5 3 + 1}{10}

+ \frac{5}{3} \cdot + 6

\frac{3}{5} - \frac{4}{35}

\frac{\frac{x + 5}{3 x - 21}}{\frac{5 x + 25}{6 x - 42}}

6 (w - 1)

\frac{2 + tan ^{2} ( x )}{sec ^{2} ( x )} - 1

What is (15+sqrt(3))/(10sqrt(3)) ?
The solution to (15+sqrt(3))/(10sqrt(3)) is (5sqrt(3)+1)/(10)