Solve 4sqrt{2^33^6}

$$4 \sqrt { 2 ^ { 3 } 3 ^ { 6 } }$$

Evaluate

$$216\sqrt{2}\approx 305.470129473$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$4\sqrt{8\times 3^{6}}$$

Calculate 3 to the power of 6 and get 729.

$$4\sqrt{8\times 729}$$

Multiply 8 and 729 to get 5832.

$$4\sqrt{5832}$$

Factor 5832=54^{2}\times 2. Rewrite the square root of the product \sqrt{54^{2}\times 2} as the product of square roots \sqrt{54^{2}}\sqrt{2}. Take the square root of 54^{2}.

$$4\times 54\sqrt{2}$$

Multiply 4 and 54 to get 216.

$$216\sqrt{2}$$