Multiplying Radicals with Different Indices
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Nancy Jackson
FREE Resource
5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the basic rule for multiplying radicals directly?
Radicals can be multiplied directly if their indices are the same.
Radicals can be multiplied directly if their radicands are the same.
Radicals can be multiplied directly if their exponents are the same.
Radicals can be multiplied directly if their bases are the same.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the shortcut method, what is the first step when multiplying radicals with the same radicand but different indices?
Simplify the radicands first.
Create a single radical and multiply their indices.
Convert the radicals to rational exponents.
Add the indices together.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the shortcut method, how do you determine the new index for the radicals?
By adding the indices of the radicals.
By dividing the larger index by the smaller index.
By multiplying the indices of the radicals.
By subtracting the smaller index from the larger index.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what serves as the exponent of the first radicand?
The product of the indices.
The index of the first radical.
The sum of the indices.
The index of the second radical.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final result of multiplying the radicals in the second example?
The sixth root of 432
The sixth root of 32
The third root of 432
The fourth root of 432
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