Question

expressions 35 100% √(8x) ? olify

Explanation:

Step1: Factor the radicand

We know that \( 8 = 4\times2 \), and \( 4 \) is a perfect square. So we can rewrite \( \sqrt{8x} \) as \( \sqrt{4\times2x} \).

Step2: Use the property of square roots

The property of square roots states that \( \sqrt{ab}=\sqrt{a}\times\sqrt{b} \) (where \( a\geq0 \) and \( b\geq0 \)). Applying this property to \( \sqrt{4\times2x} \), we get \( \sqrt{4}\times\sqrt{2x} \).

Step3: Simplify \( \sqrt{4} \)

Since \( \sqrt{4} = 2 \), we substitute this back into the expression, so \( \sqrt{4}\times\sqrt{2x}=2\sqrt{2x} \).

Answer:

\( 2\sqrt{2x} \)