# How to Do Basic Math in GeoGebra

To start, you should familiarize yourself with the following symbols and terms:

• Addition: `+`

• Subtraction: `-`

• Multiplication: `*` or `space`

• Division: `/` or `:`

• Exponents: `^ + <Exponent>`

• Square root: `sqrt(<Number>)`

• $n$th roots: `nroot(<Number>, <n>)`

• An exact/symbolic value is a value given as a fraction or a root, with before it. An exact value can also be an integer.

• A numeric value is a value given by a rounded decimal number, with before it.

Example 1

To compute ${2}^{3}$, type `2^3`.

To compute $\sqrt{4}$, type `sqrt(4)`.

To compute $\sqrt[3]{27}$, type `nroot(27, 3)`.

To compute $8-7\cdot \phantom{\rule{-0.17em}{0ex}}\left({2}^{2}-\frac{3}{4}\right)$, type `8-7(2^2-3/4)`.

Example 2

To enter fractions in `GeoGebra`, use “`/`” or “`:`”. For example, $\frac{2}{3}$ is entered as `2/3`.

If you have several terms or factors in the fraction, you must use parentheses around the numerator and the denominator. For example, to compute $\frac{2}{5\cdot 3}=\frac{2}{15}$, type

`2/(5*3)` or `2/(5 3)`

If you type

`2/5 * 3` or `2/5 3`

then you get

 $\frac{2}{5}\cdot 3=\frac{6}{5}\ne \frac{2}{15}$