Mary Jane Sterling - Algebra I - 1001 Practice Problems For Dummies (+ Free Online Practice)

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Chapter 5

Radical expressions are characterized by radical symbols and an index — a small number written in front of the radical symbol that indicates whether you have a cube root, a fourth root, and so on. When no number is written in front of the radical, you assume it’s a square root.

In this chapter, you get plenty of practice working with radicals in the following ways:

Simplifying radical expressions by finding a perfect square factor

Rationalizing denominators with one term

Rationalizing denominators with two terms, using a conjugate

Rewriting radicals with fractional exponents

Dividing with radicals

Solving operations involving fractional exponents

Estimating the values of radical expressions

As you get in your groove, solving one radical problem after another, don’t overlook the following:

Choosing the largest perfect square factor when simplifying a radical expression

Multiplying correctly when writing equivalent fractions, using conjugates

Performing operations correctly when fractions are involved

Checking radical value estimates by comparing to nearest perfect square values

191–196 Simplify the radical expressions.

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197–210 Simplify the fractions by rationalizing the denominators.

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211–216 Rewrite each radical expression using a fractional exponent.

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217–226 Compute the value of each expression.

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