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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Simplifying Radical Expressions Containing One Term

Example

Simplify:

Solution

This radical expression is not in simplified form because it has a radical in its denominator.

To begin, we will write the expression as a quotient under a single radical symbol.

Then we will try to simplify that quotient so that it can be written without a denominator.

 Use the Division Property of Radicals to write the quotient under one radical symbol. Simplify the radicand. We have rewritten the radicand without a denominator. However, the radicand has some factors that are perfect squares. Factor the radicand. Use perfect square factors when possible. Write as a product of radicals. Place each perfect square under its own radical symbol. Simplify the square root of each perfect square. Multiply the factors outside the radical symbol. So,
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