Solve frac{2sqrt{8}*3.1415}{4}+2

$$\frac{ 2 \sqrt{ 8 } \times 3.1415 }{ 4 } +2$$

Evaluate

$$\frac{6283\sqrt{2}}{2000}+2\approx 6.442751906$$

Solution Steps

Multiply 2 and 3.1415 to get 6.283.

$$\frac{6.283\sqrt{8}}{4}+2$$

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}.

$$\frac{6.283\times 2\sqrt{2}}{4}+2$$

Multiply 6.283 and 2 to get 12.566.

$$\frac{12.566\sqrt{2}}{4}+2$$

Divide 12.566\sqrt{2} by 4 to get 3.1415\sqrt{2}.

$$3.1415\sqrt{2}+2$$

Factor

$$\frac{6283 \sqrt{2} + 4000}{2000} = 6.442751906195078$$