Solve frac{4(2sqrt{8})}{6}

$$\frac{ 4(2 \sqrt{ 8 } ) }{ 6 }$$

Evaluate

$$\frac{8\sqrt{2}}{3}\approx 3.771236166$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8\sqrt{8}}{6}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$\frac{8\times 2\sqrt{2}}{6}$$

Multiply 8 and 2 to get 16.

$$\frac{16\sqrt{2}}{6}$$

Divide 16\sqrt{2} by 6 to get \frac{8}{3}\sqrt{2}.

$$\frac{8}{3}\sqrt{2}$$