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Simplifying Radicals and Exponents

Simplifying Radicals and Exponents

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Mia Campbell

FREE Resource

The video tutorial explains the inverse relationship between radicals and exponentials, demonstrating how they cancel each other out. It provides examples of simplifying radicals using prime factorization, showing how to extract constants from radicands. The tutorial covers square roots and cube roots, illustrating the process with numbers like 16, 80, and 312. By understanding the index and prime factors, viewers learn to simplify complex radicals into simpler forms.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you raise a number to a power and then take the root with the same index?

The number is squared.

The number becomes zero.

The operations cancel each other out.

The number doubles.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you raise 2 to the power of 2 and then take the square root, what is the result?

4

1

8

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you simplify the square root of 16 using prime factorization?

By multiplying 16 by 2

By expressing 16 as 2^2 * 2^2

By expressing 16 as 2^4

By dividing 16 by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 16?

4

3

5

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When simplifying the square root of 80, which prime factorization is used?

2^2 * 3 * 5

2^4 * 5

2^2 * 2^2 * 5

2^3 * 5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 80?

8√5

4√5

2√5

10√5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the cube root of 312, which number is raised to the power of 3?

3

5

2

13

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