SOLUTION: how to break down irrational numbers by using perfect squares example:the square root of 44

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Question 221722: how to break down irrational numbers by using perfect squares example:the square root of 44
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
To simplify square root numbers like sqrt%2844%29+, you need to find a perfect square that is a factor of 44. This would be 4. By the Product Property of Square Roots, you can write this:

sqrt%2844%29+=+sqrt%284%29%2Asqrt%2811%29

sqrt%2844%29+=2%2Asqrt%2811%29+

For additional explanation on SQUARE ROOTS, please see my own website. Use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. Click on the link near the bottom of this page, which will take you to my Homepage. On my Homepage near the top, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 5 for sevearl topics on SQUARE ROOTS. For help with this type of problem, look in my Section 5.01. In these sections, you will find my own non-traditional explanations, that my own students all said were a LOT easier to understand than traditional textbooks. See also the corresponding "MATH IN LIVING COLOR" pages in which problems are solved IN COLOR! I also have FREE videos on the website of me teaching my classes a few years ago. To access the videos, go back to my Homepage, and look for the link "Rapalje Videos in Living Color." Select "Basic Algebra", and select the video on "Radicals (Square Roots)."

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Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus