simplify sqrt(8) — step-by-step solution

Let's simplify:

\sqrt{8}

ⓘ We look for the largest square dividing

8

4

2^{2}

, and take it out of the root:

\sqrt{8}

\sqrt{4 \times 2}

\sqrt{4} \times \sqrt{2}

2 \times \sqrt{2}

▶Simplified form:

2 \times \sqrt{2}

The numeric value of:

2 \times \sqrt{2}

equals:

2 \times \approx 1.4142

▷

\approx 2.8284