Solve sqrt{4,8^2+6,4^2}=

$$\sqrt { 4,8 ^ { 2 } + 6,4 ^ { 2 } } =$$

Evaluate

$$4\sqrt{22}\approx 18.761663039$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\sqrt{4\times 64+6\times 4^{2}}$$

Multiply 4 and 64 to get 256.

$$\sqrt{256+6\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\sqrt{256+6\times 16}$$

Multiply 6 and 16 to get 96.

$$\sqrt{256+96}$$

Add 256 and 96 to get 352.

$$\sqrt{352}$$

Factor 352=4^{2}\times 22. Rewrite the square root of the product \sqrt{4^{2}\times 22} as the product of square roots \sqrt{4^{2}}\sqrt{22}. Take the square root of 4^{2}.

$$4\sqrt{22}$$