What is expand (sqrt(2)+1/(sqrt(3)))^3 ?

The solution to expand (sqrt(2)+1/(sqrt(3)))^3 is (9sqrt(6)+19)/(3sqrt(3))

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expand (sqrt(2)+1/(sqrt(3)))^3

expand

(2 + \frac{1}{3})^{3}

\frac{9 6 + 19}{3 3}

Decimal Notation

7.89919 \dots

Solution steps

(2 + \frac{1}{3})^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(2 + \frac{1}{3})^{3} = (2)^{3} + 3 (2)^{2} \frac{1}{3} + 32 (\frac{1}{3})^{2} + (\frac{1}{3})^{3}

= (2)^{3} + 3 (2)^{2} \frac{1}{3} + 32 (\frac{1}{3})^{2} + (\frac{1}{3})^{3}

(2)^{3} + 3 (2)^{2} \frac{1}{3} + 32 (\frac{1}{3})^{2} + (\frac{1}{3})^{3} = \frac{9 6 + 19}{3 3}

= \frac{9 6 + 19}{3 3}

(2 cos (2 t) + 1 + 4 sin (2 t))^{2}

\frac{( 2 ( - t + 13 ) )}{( t + 1 ) ^{3}}

(x^{\frac{1}{3}} - 1)^{3}

(\frac{5}{1 - x} - \frac{4}{1 + 2 x})^{4}

(1 + 3) x

What is expand (sqrt(2)+1/(sqrt(3)))^3 ?
The solution to expand (sqrt(2)+1/(sqrt(3)))^3 is (9sqrt(6)+19)/(3sqrt(3))