Dividing Radicals Worksheet
Practice worksheet for dividing radical expressions, including simplifying and rationalizing denominators, suitable for Grade 9 algebra students.
Includes
2 Short AnswerFill in the BlanksMultiple Choice
Standards
CCSS.MATH.CONTENT.HSA.APR.D.6
Topics
MathAlgebraRadicalsDividing RadicalsGrade 9
6 sections · Free to use · Printable
Dividing Radicals
Name:
Date:
Score:
Simplify each radical expression by dividing. Rationalize the denominator where necessary. Show all your work.
1. Simplify: \( \frac{\sqrt{48}}{\sqrt{3}} \)
2. Simplify: \( \frac{\sqrt{72}}{\sqrt{8}} \)
3. Rationalize the denominator: \( \frac{1}{\sqrt{5}} \) =
4. Rationalize the denominator: \( \frac{\sqrt{2}}{\sqrt{7}} \) =
5. Which of the following is equivalent to \( \frac{\sqrt{18}}{\sqrt{2}} \)?
a
\( \sqrt{9} \)
b
\( 3 \)
c
\( \sqrt{36} \)
d
\( 6 \)
6. Divide and simplify: \( \frac{\sqrt{20x^3}}{\sqrt{5x}} \)
7. Rationalize the denominator: \( \frac{3}{\sqrt{6}} \)