Operations with Radicals Worksheets
How to Perform Math Operations with Radicals  Mathematical operations with radical or square root symbols are known as the radical expressions and can be easily identified with the obvious radical sign (√). Remember that the exponents tell us to multiply the given number a certain number of times. For instance, 62 shows to multiply the integer 6 with itself two times. 6^{2} = 6. 6 = 36. However, the radicals or the roots are inverses of the exponentiation. That means they work backward from 36 to its square roots √36 = 6 Adding And Subtracting The Radical Expressions  For adding the radicals, the number under the radical sign, radicand should be the same for each radical expression. The general form of the equation would be: a√b +c√b = (a + c) √b. Putting in some values: √3+ 2√3 = 3√3. The subtraction of the radical follows the same rule as the addition. Consider an example below a√b  c√b = (a – c) √b Putting in some values: 3√3  2√3 = √3. Multiplying The Radical Expressions  In multiplication, we only have to multiply the numbers or values present under the radical sign. √a. √b = √a. b. An example with real numbers would be: √3 . √2 = √6

Independent Practice 1
Perform the indicated operations and simplify the answers. The answers can be found below.
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Independent Practice 2
When the radicals are same, simply add the number in front of the radicals.
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Homework Worksheet
Operations with Radicals problems for students to work on at home. Example problems are provided and explained.
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A Fun Thought
I bet you did not know that Pi may not be normal. No one has yet proved that is not normal, so most people generally assume that it is.