SOLUTION: 3 √13/3 Simplify: 3 ( square root of 13 over 3) This is the same question. Just wasnt sure about the best way to present it.

Algebra ->  Radicals -> SOLUTION: 3 √13/3 Simplify: 3 ( square root of 13 over 3) This is the same question. Just wasnt sure about the best way to present it.      Log On


   

Question 166893: 3 √13/3
Simplify: 3 ( square root of 13 over 3)
This is the same question. Just wasnt sure about the best way to present it.
Found 2 solutions by Alan3354, MRperkins:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3 √13/3
Simplify- 3 ( square root of 13 over 3)
3sqrt%2813%2F3%29
= 3sqrt%2839%2F9%29
= 3sqrt%2839%29%2Fsqrt%289%29
= 3sqrt%2839%29%2F3
= sqrt%2839%29



Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283%29sqrt%2813%29%29%2F3
the 3 in the numerator (top number) reduces with the 3 in the denominator and you are left with %281%2Asqrt%2813%29%29%2F1 or simply sqrt%2813%29
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If the problem reads 3sqrt%2813%2F3%29 then you will get a different answer.
in this case you will rewrite the fraction as the sqrt of the numerator over the sqrt of the denominator. So it would look like this: %283sqrt%2813%29%29%2F%28sqrt%283%29%29
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now you have 3 to the 1st power on the top and 3 to the 1/2 power on the bottom. These reduce to 3 to the 1/2 power on top and 3 to the 0 power(which is 1) on the bottom. now you can rewrite 3 to the 1/2 power as a sqrt. The formula now looks like this: sqrt%283%29%2Asqrt%2813%29
you can multiply these to get sqrt%283%2A13%29. Since you can not pull any factors out then you should combine the terms and get: sqrt%2839%29
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look at both examples to make sure you see the differences. Then pick the example that matches your problem.
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I hope this helps!
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