What is (6+sqrt(3))/(4sqrt(3)) ?

The solution to (6+sqrt(3))/(4sqrt(3)) is (2sqrt(3)+1)/4

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simplify (6+sqrt(3))/(4sqrt(3))

simplify

\frac{6 + 3}{4 3}

\frac{2 3 + 1}{4}

Decimal Notation

1.11602 \dots

Solution steps

\frac{6 + 3}{4 3}

Multiply by the conjugate

\frac{3}{3}

= \frac{( 6 + 3 ) 3}{4 3 3}

(6 + 3) 3 = 63 + 3

433 = 12

= \frac{6 3 + 3}{12}

Factor

63 + 3 : 3 (23 + 1)

= \frac{3 ( 2 3 + 1 )}{12}

Cancel the common factor:

3

= \frac{2 3 + 1}{4}

(4 s + 3) 2

\frac{1}{x ^{2} - 2 x}

2 \times \frac{1}{10}

What is (6+sqrt(3))/(4sqrt(3)) ?
The solution to (6+sqrt(3))/(4sqrt(3)) is (2sqrt(3)+1)/4