SOLUTION: I need to simplify and assume all variables represent positive numbers. sqrt x^4y^3 I have a result of = x^4y^2 sqrt y Is this right? please help

Question 87437This question is from textbook algebra
: I need to simplify and assume all variables represent positive numbers.
sqrt x^4y^3
I have a result of = x^4y^2 sqrt y
Is this right? please help This question is from textbook algebra

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
This is what I call the "radical TWO-step." For the first step, you must make TWO square root symbols, and sort out the factors, placing all the perfect square in the first square root, and the left-over factors in the second square root. In this case:

Now for the second step, you simplify the first square root, and leave the second square root as is, since it does not simplify anyhow.

For additional help, see any of my Lesson Plans in algebra.com, or go to my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Then look for "MATH IN LIVING COLOR", click on "Basic Algebra" and look for topics in Chapter 5. There are lots of examples with detailed solutions in COLOR. If anyone needs additional explanations on Square Roots, send me an Email and I'll send you the link to another page on the website. It's all FREE!

R^2 Retired from SCC
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