Solve 4/sqrt{3}*sqrt[3]{x*0}sqrt[3]{10}

$$\frac { 4 } { \sqrt { 3 } } \times \sqrt[ 3 ] { x \cdot 0 } \sqrt[ 3 ] { 10 }$$

Evaluate

$$0$$

Solution Steps

Rationalize the denominator of \frac{4}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{4\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\sqrt[3]{x\times 0}\sqrt[3]{10}$$

The square of \sqrt{3} is 3.

$$\frac{4\sqrt{3}}{3}\sqrt[3]{x\times 0}\sqrt[3]{10}$$

Anything times zero gives zero.

$$\frac{4\sqrt{3}}{3}\sqrt[3]{0}\sqrt[3]{10}$$

Calculate \sqrt[3]{0} and get 0.

$$\frac{4\sqrt{3}}{3}\times 0\sqrt[3]{10}$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$