The root of a number expresses another number that, when multiplied by itself times, will result in Aside from the radical symbol, the notation is made up of the radicand and the index
The resulting number is commonly called a radical. For example, the radical expression is the
fourth root of simplifies to because multiplied by itself times equals
The general expression represents a number which equals when multiplied by itself times.
The root can also be expressed using a rational exponent.
Rewrite the given expressions in the opposite form.
To begin, notice that the expression is written in radical form. Thus, it needs to be rewritten with a rational exponent. Recall that Notice that in does not have an exponent. That means it is raised to the power of This gives
This expression has a rational exponent. Thus, we must rewrite it with a radical. Recall that Since the denominator of the exponent is we can write the cube root of
Simplify the following radical expression by rewriting it so that it has a rational exponent.