Question

Add and subtract square roots that need simplification Number 194

Answer 1

Solution.

We are required to simplify

$\frac{1}{8}\sqrt{32}-\frac{1}{10}\sqrt{50}$$=\frac{1}{8}\sqrt{16\text{ x 2}}-\frac{1}{10}\sqrt{25\text{ x 2}}$$\begin{gathered} =\frac{1}{8}\sqrt{16}\text{ x}\sqrt{2}\text{ - }\frac{1}{10}\sqrt{25}\text{ x }\sqrt{2} \\ \\ \end{gathered}$$\frac{1}{8}(4)\sqrt{2}-\frac{1}{10}(5)\sqrt{2}$$\begin{gathered} =\frac{4\sqrt{2}}{8}-\frac{5\sqrt{2}}{10} \\ \\ =\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \\ =0 \end{gathered}$

The answer is zero (0)