simplify 3/(2sqrt(2))+(5sqrt(2))/4

Let's reduce:

\frac{3}{2 \times \sqrt{2}} + \frac{5 \times \sqrt{2}}{4}

By convention, we prefer numerical square roots in the numerator:

ⅰ

\frac{3}{2 \times \sqrt{2}}

\frac{3 \times \sqrt{2}}{2 \times 2}

\frac{3 \times \sqrt{2}}{2 \times 2} + \frac{5 \times \sqrt{2}}{4}

ⅰ

2 \times 2

4

\frac{3 \times \sqrt{2}}{4} + \frac{5 \times \sqrt{2}}{4}

ⓘ Like terms are grouped by adding their coefficients:

\frac{3 \times \sqrt{2}}{4} + \frac{5 \times \sqrt{2}}{4}

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