simplify. \n\\sqrt{8}

Explanation:

Step1: Factor the radicand

We know that ( 8 = 4\times2 ), so we can rewrite ( \sqrt{8} ) as ( \sqrt{4\times2} ).

Step2: Use the property of square roots

The property ( \sqrt{ab}=\sqrt{a}\times\sqrt{b} ) (where ( a\geq0,b\geq0 )) allows us to split the square root: ( \sqrt{4\times2}=\sqrt{4}\times\sqrt{2} ).

Step3: Simplify ( \sqrt{4} )

Since ( \sqrt{4} = 2 ), we substitute this back in: ( \sqrt{4}\times\sqrt{2}=2\sqrt{2} ).

Answer:

( 2\sqrt{2} )