Maths (Radicals and rational exponent) 050294RR

  What best describes the triangle whose corners are located at the points (1, 1), (2, 2), and (0, 16)? 

 2. Simplify (6 − i)(2 + i). 

 3. What are the mean and standard deviation of the data – 6, 12, 2, – 4, 1, 6, 0, 3? 

 4. Which expression has the same value as 25½? 

 5. Which of these points is 5 units away from the point (6, –1)? 

 6. Simplify 2 square root2(-square root 8+2 square root 6)

 7. Simplify 5 square root 2 divided 2-i by rationalizing the denominator. 

 8. Simplify i 23 . 

 9. Choose the best description of the radical expression cube root-9. 

   12. Combine like radicals in 

 14. Which of these phrases best describes the standard deviation? A. It increases as more measurements are taken. B. It is equal to the mean squared. C. It is a radical expression using n variables. D. It is a measure of variability. 

 16. Rationalize the denominator of square root x+ square root y divided by square root x- square root y assuming x ≥ 0 and y ≥ 0. 

 18. To solve square root x+ square root x-5 =5, begin with which of these steps? A. Eliminate the negative in the second radical expression. B. Combine the two like radicals, then square both sides. C. Square both sides of the equation. D. Isolate one radical expression. 

19. Which of the following best describes imaginary numbers? A. They are the values of expressions of the form for various real numbers a, as long as a ≠ 0. B. They consist of two values, the principal imaginary number i and its negative –i. C. They are the complex numbers. D. They are not numbers, but are useful in solving equations. 

20. Simplify cube root -16xy6 

21. Which of these expressions simplifies to square root 3(|x|-5x square)divided by 3 ?  23. Rationalize the denominator of 2 divided by cube root a-1.

  25. Simplify cube root 810