Simplifying Radicals in Algebra 1

This video tutorial covers the process of simplifying radical expressions by finding the largest perfect square that is a multiple of a given number. It provides step-by-step examples, including those with variables and exponents, to demonstrate the simplification process. The tutorial also explains the mathematical reasoning behind the simplification of radicals and offers advanced examples to solidify understanding. The video concludes with a preview of the next set of problems to be covered in the following tutorial.

What is the largest perfect square factor of 125?

• 625

• 5

• 25

• 125

How can the expression under the square root of 216 be simplified?

• 6 squared times 6

• 36 times the square root of 6

• 4 times 54

• 6 times the square root of 6

What is the simplified form of the square root of 512?

• 16 times the square root of 2

• 8 times the square root of 64

• 32 times the square root of 2

• 4 times the square root of 128

What is the result of simplifying the square root of 216 times K to the fourth?

• 36K times the square root of 6

• 6 times the square root of 6K

• 6K squared times the square root of 6

• 6K times the square root of 36

What does the square root of 100 simplify to?

• 1000

• 100

• 1

• 10

How is the expression 80P cubed simplified under a radical?

• 8P times the square root of 10

• 4 times the square root of 20P

• 4P times the square root of 5P

• 16P times the square root of 5

What is the simplified form of the square root of 45 times P squared?

• 3P times the square root of 5

• 9P times the square root of 5

• 45P times the square root of 1

• 5P times the square root of 9

How is the square root of 147 times M to the third and N to the third simplified?

• 7 times the square root of 21MN

• 147 times the square root of MN

• 49MN times the square root of 3

• 7MN times the square root of 3MN

How is the variable part handled when simplifying the square root of M to the fourth?

• M

• 2M

• M to the fourth

• M squared

What is the simplified form of the square root of 200 times M to the fourth?

• 20M squared times the square root of 10

• 10 times the square root of 20M squared

• 100M squared times the square root of 2

• 10M squared times the square root of 2N