Skip to main content
Search IntMath

Exponents and Radicals

By M Bourne

√(a + b)10

Exponents are a very important part of algebra. An exponent is just a convenient way of writing repeated multiplications of the same number.

Radicals involve the use of the radical sign, `sqrt(\ )`. Sometimes these are called surds.

If you learn the rules for exponents and radicals, then your enjoyment of mathematics will surely increase! (Yeah, right... :-)

Related Sections in
"Interactive Mathematics"

The Binomial Theorem, which shows how to expand expressions like (x + y)6.

Exponential and Logarithmic Functions, which talks about applications of expressions like `10^x` and log x.

Differentiation of polynomials, where one of the steps involves exponents.

Roots and radicals, from the basic algebra section.

In this Chapter

1. Simplifying Expressions with Integral Exponents - defines exponents and shows how to use them when multiplying or dividing in algebra.

2. Fractional Exponents - shows how an fractional exponent means a root of a number

3. Simplest Radical Form - this technique can be useful when simplifying algebra

4. Addition and Subtraction of Radicals - shows how to add or subtract expressions involving the square root sign

5. Multiplication and Division of Radicals (Rationalizing the Denominator) - while this method is not as important as it was in the pre-calculator days, it is still a useful technique

6. Equations with Radicals - the fun starts!

The chapter begins with 1. Simplifying Expressions with Integral Exponents »

Problem Solver

AI Math Calculator Reviews

This tool combines the power of mathematical computation engine that excels at solving mathematical formulas with the power of GPT large language models to parse and generate natural language. This creates math problem solver thats more accurate than ChatGPT, more flexible than a calculator, and faster answers than a human tutor. Learn More.

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.