Radicals and Rational Expressions
Math 20-1: simplifying radicals and rational expressions.
10 questions, free, marked as you go with a worked explanation on every one.
What this covers
- radicals
- math20 1 radicals and rational expressions
The questions
- Simplify: √72. Write your answer as k, where the simplified form is k√2.
- Simplify: (x² - 9)/(x - 3)
- Evaluate: √3 × √12
- What value of x makes the expression 1/(x-5) undefined?
- Simplify √50. Write your answer as k, where the simplified form is k√2.
- Simplify (x² - 4) / (x - 2)
- Evaluate: √5 × √20
- For what value(s) of x is the expression (x + 1)/(x² - 1) undefined?
- Working alone, one tap fills a tank in 6 hours and a second tap fills the same tank in 12 hours. If both taps are opened together, how many hours does it take to fill the tank?
- Simplify: 3 times the square root of 2, plus 5 times the square root of 2. Write your answer as k, where the simplified form is k times the square root of 2.