
Simplifying Square Roots with Imaginary Numbers

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the imaginary unit 'i' defined as?
The square root of 1
The square root of 2
The square root of -1
The square root of 0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express the square root of -25 using imaginary numbers?
5i
i5
25i
i25
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in simplifying the square root of a negative number?
Divide by 5
Factor out -1
Add 1
Multiply by 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the prime factorization of 12 used in the simplification process?
6 * 2
4 * 3
3 * 3 * 2
2 * 2 * 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the square root of -12 be expressed using imaginary numbers?
i√6
i√12
3i√2
2i√3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the perfect square factor of 48 used in the simplification?
36
9
16
25
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the square root of -48 expressed using imaginary numbers?
-2i√6
-3i√4
-5i√2
-4i√3
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