Solve sqrt{1}2sqrt{8}

$$\sqrt{ 1 } 2 \sqrt{ 8 }$$

Evaluate

$$4\sqrt{2}\approx 5.656854249$$

Solution Steps

Factor 8=1\times 8. Rewrite the square root of the product \sqrt{1\times 8} as the product of square roots \sqrt{1}\sqrt{8}.

$$2\sqrt{1}\sqrt{1}\sqrt{8}$$

Multiply \sqrt{1} and \sqrt{1} to get 1.

$$2\times 1\sqrt{8}$$

Multiply 2 and 1 to get 2.

$$2\sqrt{8}$$

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}.

$$2\times 2\sqrt{2}$$

Multiply 2 and 2 to get 4.

$$4\sqrt{2}$$