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Squares and Square Roots Exercises


Squares

Remember roots? Not the tree things that you trip over all the time, the excellent television miniseries, or the Canadian apparel company. Roots are the solutions to polynomials that are set equal...

Simplification of Radical Terms

A radical term is any term that has at least one radical in it. Radical terms can be messy, so we want to write them in the simplest way possible. It's probably also a good idea to fit them with a...

Addition and Subtraction

To add or subtract radical expressions, simplify each radical term and then combine like terms. A simplified radical term consists of a coefficient and a radical, under which there is a radicand....

Multiplication

Multiplication of radical expressions is similar to multiplication of polynomials. Remember what a gas that was? Now we can experience that thrill ride all over again, and you don't even need to...

Division

We already know how to divide one radical term by another, and how to simplify our answer by rationalizing denominators. However, because you looked sleepy the last time we went over it, let's re...

Taking Square Roots

The easiest possible quadratic equation to solve would be something like x2 = 9, so we won't be dealing with anything more complicated than that. Psych! (Sorry.)If the square of x is 9, then x c...

Completing the Square

Now we know how to solve a quadratic equation that can be rearranged so we have the square of a first-degree expression on one side and a number on the other side. We also know how to solve quadrat...

Quadratic Formula

Let's kick things off with a...Sample Problem!What, you were expecting a party?Solve the quadratic equation ax2 + bx + c = 0 by completing the square. Here we know a, b, and c are numbers, but we d...

Solving Radical Equations

A radical equation is an equation that features a variable contained inside a radicand. At least it won't get wet if it rains.An example of a radical equation is .The equation is not a radical equ...
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