SOLUTION: Please show be the complete process on how to simplify the following. square root of 32 minus the square root of 2. Thank you.

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Question 87468: Please show be the complete process on how to simplify the following.
square root of 32 minus the square root of 2.
Thank you.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2832%29+-+sqrt%282%29

Simplify sqrt%2832%29+ by breaking it down:
sqrt%2816%29%2Asqrt%282%29+
4%2Asqrt%282%29+

Now, sqrt%2832%29+-+sqrt%282%29
sqrt%2816%29%2Asqrt%282%29-sqrt%282%29+
4%2Asqrt%282%29+-+1%2Asqrt%282%29

These are LIKE TERMS, so combine like terms:
3%2Asqrt%282%29+

For additional explanations on square roots, please see 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", then "Basic Algebra," then "Section 5.03." I also have a detailed explanation with examples and exercises. Anyone who needs to find this can send me an Email.

R^2 Retired from SCC