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SIMPLIFYING A SUM OF RADICAL EXPRESSIONS CALCULATOR
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Simplifying Radical Expressions Containing One Term

Example

Simplify:

Solution

This radical is not in simplified form because it has a fraction under the radical symbol.
We cannot simplify the fraction because the numerator and denominator have no common factors except 1 and -1. Instead we will write the radical as a quotient of two radicals. Then we will try to simplify each radical so that we can write the expression without a radical in the denominator.
Use the Division Property of Radicals to write the radical as a quotient of two radicals.
For each radical, factor the radicand. Use perfect fourth power factors when possible.
 Write as a product of radicals. Place each perfect fourth power under its own radical symbol.
Simplify the fourth root of each perfect fourth power.
Multiply the factors outside the radical.
So,
There is often more than one way to simplify a radical expression. With practice, you may be able to decrease the amount of writing required.