Simplifying Radical Expressions Practice — Grade 9 math

Lesson 61: Simplifying Radical Expressions — Practice Questions

1. Simplify the expression $\sqrt{72x^3y^6}$. The simplified form is ___.
2. Which expression is equivalent to $\sqrt{p^9}$?
- A. $p^3$
- B. $p^4\sqrt{p}$
- C. $p^4$
- D. $p\sqrt{p^8}$
3. For the data set {5, 15, 8, 20, 11, 3, 18}, what is the upper quartile (Q3)? The answer is ___.
4. For the data set {2, 14, 8, 10, 20, 6, 18}, which of the following statements is true?
- A. The median is 8.
- B. The lower quartile (Q1) is 6.
- C. The maximum is 18.
- D. The upper quartile (Q3) is 14.
5. Simplify the expression $\sqrt{45k^7m^4}$. The simplified form is ___.
6. Simplify the radical expression $\sqrt{48}$ completely. The simplified form is ___.
7. A right triangle has legs with lengths of 5 inches and 12 inches. What is the length of the hypotenuse in inches? ___
8. A right triangle has a hypotenuse of length 15 units and one leg of length 12 units. What is the length of the other leg? ___