simplify sqrt(50) — step-by-step solution

Let's simplify:

\sqrt{50}

ⓘ We look for the largest square dividing

50

25

5^{2}

, and take it out of the root:

\sqrt{50}

\sqrt{25 \times 2}

\sqrt{25} \times \sqrt{2}

5 \times \sqrt{2}

▶Simplified form:

5 \times \sqrt{2}

The numeric value of:

5 \times \sqrt{2}

equals:

5 \times \approx 1.4142

▷

\approx 7.0711