simplify 8/(sqrt(2)) — step-by-step solution

Let's reduce:

\frac{8}{\sqrt{2}}

The conventional preference is to have numerical square roots in the numerator rather than in the denominator:

ⅰ

\frac{8}{\sqrt{2}}

\frac{8 \times \sqrt{2}}{2}

\frac{8 \times \sqrt{2}}{2}

ⓘ A fraction is simplified by dividing the numerator and the denominator by the same number:

\frac{8 \times \sqrt{2}}{2}

4 \times \sqrt{2}

▶Simplified form:

4 \times \sqrt{2}

The numeric value of:

4 \times \sqrt{2}

equals:

4 \times \approx 1.4142

▷

\approx 5.6569