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Express each radical in simplified form. Assume that all variables represent positive real mumbers. See Example 5$$\sqrt{256 z^{12}}$$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 3
Simplifying Radical Expressions
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
Oregon State University
Harvey Mudd College
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trying to simplify the spread of too hard face exceeded 12. But you can break it into 22 different factors that you have there on the radical. So that's the same as the sprayer ago, 256 times the square root of 0 12 If you haven't exponents, that's an even exploding on the variable like this, and it's a perfect square factor of half of that experiment. So see, the 12th is gonna be perfect for a factor of 060 The six times in six is either talk, so you can pull that out of the radical sign. The spirit of 206 is a perfect square on this. No need to do anything. Complicate with that to 56 is going to be this thing about that. Is it 16 times 16? Think so? So 16 times 16 6 times six is 36 six times one of six plus three is nine white place one time 6261 times one is one. And what you can see here is it is in fact, your to hire 56 so that means it discredits you. Every six is just 16 and then he can most by these two together. And you got your answer. So our simplest form after we do our work with product role is gonna be 16 z to the sex, you know?
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