SOLUTION: simplify:
cube root of 144+cube root of 2/3-5 times cube root of 18
-Tammam Ahmed
Algebra.Com
Question 248997: simplify:
cube root of 144+cube root of 2/3-5 times cube root of 18
-Tammam Ahmed
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
We cannot add or subtract any of these terms because they are not like terms (yet). But we can simplify them. There are two parts to simplifying radicals:- Factoring out perfect powers of the root. (In this case we will be factoring out perfect cubes where possible.)
- Rationalizing denominators.
The first cube root has a perfect square factor. The middle cube root needs to be rationalized:
Each cube root is now simplified. And they are now like terms! So we can add and subtract them. Of course we need common denominators first:
or
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