simplify sqrt(8)*sqrt(7) — step-by-step solution

Let's simplify:

\sqrt{8} \times \sqrt{7}

ⓘ 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}

2 \times \sqrt{2} \times \sqrt{7}

ⓘ The product of two square roots is the square root of the product:

\sqrt{2} \times \sqrt{7}

\sqrt{2 \times 7}

2 \times \sqrt{2 \times 7}

ⅰ

2 \times 7

14

▶Simplified form:

2 \times \sqrt{14}

The numeric value of:

2 \times \sqrt{14}

equals:

2 \times \approx 3.7417

▷

\approx 7.4833