Solve 05sqrt{004+1/6}sqrt{144}

$$05 \sqrt{ 004+ \frac{ 1 }{ 6 } } \sqrt{ 144 }$$

Evaluate

$$0$$

Solution Steps

Multiply 0 and 5 to get 0.

$$0\sqrt{0\times 0\times 4+\frac{1}{6}}\sqrt{144}$$

Multiply 0 and 0 to get 0.

$$0\sqrt{0\times 4+\frac{1}{6}}\sqrt{144}$$

Multiply 0 and 4 to get 0.

$$0\sqrt{0+\frac{1}{6}}\sqrt{144}$$

Add 0 and \frac{1}{6} to get \frac{1}{6}.

$$0\sqrt{\frac{1}{6}}\sqrt{144}$$

Rewrite the square root of the division \sqrt{\frac{1}{6}} as the division of square roots \frac{\sqrt{1}}{\sqrt{6}}.

$$0\times \frac{\sqrt{1}}{\sqrt{6}}\sqrt{144}$$

Calculate the square root of 1 and get 1.

$$0\times \frac{1}{\sqrt{6}}\sqrt{144}$$

Rationalize the denominator of \frac{1}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$0\times \frac{\sqrt{6}}{\left(\sqrt{6}\right)^{2}}\sqrt{144}$$

The square of \sqrt{6} is 6.

$$0\times \frac{\sqrt{6}}{6}\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$0\times \frac{\sqrt{6}}{6}\times 12$$

Multiply 0 and 12 to get 0.

$$0\times \frac{\sqrt{6}}{6}$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$