Solve =frac{8^2sqrt{12}}{2}

$$= \frac { 8 ^ { 2 } \sqrt { 12 } } { 2 }$$

Evaluate

$$64\sqrt{3}\approx 110.851251684$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{64\sqrt{12}}{2}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{64\times 2\sqrt{3}}{2}$$

Multiply 64 and 2 to get 128.

$$\frac{128\sqrt{3}}{2}$$

Divide 128\sqrt{3} by 2 to get 64\sqrt{3}.

$$64\sqrt{3}$$