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Lesson 1: Integers and Numbers
12 Roots and Radicals < Back | Next >
When we use the radical sign √ it means square root. The square root is actually a fractional index and is equivalent to raising a number to the power of ½.
Example

So for example 151/2 = √15 = 3.873

You can also have cubed roots, fourth roots and so on.

There are a few key rules to working with roots. First if a and b are both greater or equal to 0 than:

√ a x b = √a x √b

However this only applies when multiplying, if we are adding

√ a + b ≠ √a + √b

Another common example you will see is √ a2
In this case the answer is a. to solve this you would start with a and square it, than find the square root, and when you are done you will see that you are back to a again. This is important because often times in algebra we need to undo a square when solving an equation, so we will find the square root of both sides.

LESSON 1
1 Introduction to Numbers
2 Integers & Whole Numbers
3 Add & Subtract Integers
4 Multiplication of Integers
5 Integer Division
6 Properties of Numbers
7 Types of Real Numbers
8 Order of Operations
9 Roots and Powers
10 Multiply/Divide Exponents
11 Raising to a Power
12 Roots and Radicals
13 Scientific Notation & Approx
14 Accuracy & Precision
15 Operations w/ Approximate
16 Scientific Notation
< Back | Next >

 

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