Question

Can you help me Simplify this radical? Its for geometry studying.

Answer 1

Use the following property:

$\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}$

Express:

$\sqrt[]{68}$

as:

$\sqrt[]{4\cdot17}$

so:

$\sqrt[]{4\cdot17}=\sqrt[]{4}\cdot\sqrt[]{17}=2\sqrt[]{17}$