SOLUTION: Help solving theses problems: 1.Simplify √256x^2 2.Simplify √18x^4y^3 3. Simplify -4√32xy 4.Multiply and simplify 3√10(4+2&#873

Algebra ->  Graphs -> SOLUTION: Help solving theses problems: 1.Simplify √256x^2 2.Simplify √18x^4y^3 3. Simplify -4√32xy 4.Multiply and simplify 3√10(4+2&#873      Log On


   



Question 309877: Help solving theses problems:
1.Simplify √256x^2




2.Simplify √18x^4y^3


3. Simplify -4√32xy


4.Multiply and simplify 3√10(4+2√2)
5.Evaluate. Type the numerical answer.
256^1/4

6. Evaluate. Type the numerical answer.
8^4/3
7.Write an equivalent expression using radical notation and, if possible, simplify.
(9y8)^3/2
8.Use rational exponents to simplify 6√x^30

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.



sqrt%28256%2Ax%5E2%29 Start with the given expression.


sqrt%28256%29%2Asqrt%28x%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


16%2Asqrt%28x%5E2%29 Take the square root of 256 to get 16.


16x Take the square root of x%5E2 to get x.

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Answer:


So sqrt%28256%2Ax%5E2%29 simplifies to 16x


In other words, sqrt%28256%2Ax%5E2%29=16x where x%3E=0