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Express each radical in simplified form. See Example 4.$$\sqrt[3]{-250}$$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 3
Simplifying Radical Expressions
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
Campbell University
Oregon State University
McMaster University
Lectures
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find the cube root of negative 2 50 when you have a cubic group and even negative inside, that means that the route has to be a negative as well. Okay, so the first thing is to realize that that negative means that the answer has negative. Okay, the second thing that look for is any cubic factors of 250 so one cube is one to Cuba's 83 Huge is 27 4 Q 2 64 5 cube is 1 25 and 1 25 is a factor of 250. So what you can do is you can rewrite this as the cube root of hold the negative out. Already, we can rewrite this as 1 25 times two. Now, once we understand that's a cubit of 1 25 times, too, we can then apply the route to each of those factors so that we can say that the answers that's gonna be a negative and then sometimes the cube root of 1 25 and then time of the Cuba of to. So our final answer would be negative. Cuba to 1 25 this file to be negative five then times the cube root, too, and you've pulled out all your perfect cubic factors. That's why it's the simplest for
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