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

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

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

simplify

\frac{6 + 3 3}{4 3}

\frac{2 + 3}{4}

Decimal Notation

1.10355 \dots

Solution steps

\frac{6 + 3 3}{4 3}

Multiply by the conjugate

\frac{3}{3}

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

(6 + 33) 3 = 32 + 9

433 = 12

= \frac{3 2 + 9}{12}

Factor

32 + 9 : 3 (2 + 3)

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

Cancel the common factor:

3

= \frac{2 + 3}{4}

\frac{15}{1000}

f (x) = e^{l n (x) + l n (3)}

e^{l n (x) + l n (2)}

- 21 6^{\frac{1}{3}}

\frac{3}{51}

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