Ask a question

Simplify by factoring

Simplify by factoring. Assume that all variables under radicals  represent nonnegative, (Show all work)

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
Check Marked as Best Answer
Hi Theresa;
If I understand correctly, the whole thing is being square-rooted.
square root of 81=9
square root of x3=x6
The latter is because (x3)(x3)=(x6)----3+3=6
You wanted factoring...
Assuming that it is all being square rooted, let's factor.
Is this what you wanted?  Please let me know either way.
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
sqrt(81x^6)=sqrt(81)*sqrt(x^6)                   note: (x^a)*(x^a)=x^(a+a)=x^(2a)