simplify 5*8sqrt(80) — step-by-step solution

Let's reduce:

5 \times 8 \times \sqrt{80}

ⓘ We look for the largest square dividing

80

16

4^{2}

, and take it out of the root:

\sqrt{80}

\sqrt{16 \times 5}

\sqrt{16} \times \sqrt{5}

4 \times \sqrt{5}

ⅰ

5 \times 8

40

40 \times 4 \times \sqrt{5}

ⅰ

40 \times 4

160

▶Simplified form:

160 \times \sqrt{5}

The numeric value of:

160 \times \sqrt{5}

equals:

160 \times \approx 2.2361

▷

\approx 357.7709