Expert: Richard J. Raridon - 6/17/2011

Question
I am college student studying a second year of Algebra.

1. Subtract. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.

∛54x-∛(2x^4 )

2. Subtract. Simplify by collecting like radical terms, if possible. 6∛5-2∛5

3. Rewrite with radical exponents. (^5√(9x^8 y)^11

4. Multiply and simplify by factoring. Assuming that all expressing under radicals represent nonnegative numbers.

√12a^9 b*√8a^10 b^8

5. Multiply. (√7+1)(2√7+1)


Thank you so much for taking the time to help me. You have been a life saver.

Answer
1. and 2. I don't know what those symbols are supposed to represent
3. do you mean the fifth root by ^5?  You should write it (9x^8y)^1/5
4. Never, never use a * in an equation.  I presume you mean (12a^9b)^1/2(8a^10b^8)^1/2
which would be 4a^9b^4(6ab)^1/2
5. 3(7^1/2) +15