
Simplifying Radical Expressions with the Quotient Rule

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
+1
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the quotient rule for radicals?
The square root of a difference is the difference of the square roots.
The square root of a quotient is the quotient of the square roots.
The square root of a sum is the sum of the square roots.
The square root of a product is the product of the square roots.
Tags
CCSS.HSN.RN.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in simplifying the expression \(\sqrt{24x^9} / \sqrt{3x^3}\)?
Separate the variables.
Divide the coefficients.
Simplify the exponents.
Combine the radicals into one.
Tags
CCSS.3.OA.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of \(24 / 3\) in the context of the first example?
6
8
12
9
Tags
CCSS.8.EE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify \(x^9 / x^3\) using the rules of exponents?
Divide the exponents.
Subtract the exponents.
Multiply the exponents.
Add the exponents.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of \(\sqrt{8x^6}\)?
4x^2\sqrt{2}
2x^2\sqrt{2}
4x^3\sqrt{2}
2x^3\sqrt{2}
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, why is it easier to split the expression?
Because 18 is a perfect square.
Because 49 is a perfect square.
Because x^2 is not a perfect square.
Because 18 is not a perfect square.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of \(\sqrt{49}\)?
5
7
6
8
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