The video tutorial covers simplifying radicals using different methods. It begins with an introduction to simplifying radicals and then demonstrates using factor trees. An alternative method is introduced, followed by a division method for simplifying radicals. The tutorial concludes with examples applying the division method.

What is the first step in simplifying the radical expression 54, x^9, y^5, and w^7?

• Separate the terms into individual radicals

• Add the exponents of the variables

• Multiply all the terms together

• Combine all terms under one radical

Tags

CCSS.HSN.RN.A.2

When simplifying the cube root of 54, what is the result of the factor tree for 54?

• 9 x 6

• 2 x 27

• 3 x 18

• 6 x 9

How many groups of three x's are there in x^9 when simplifying the cube root?

• 2

• 1

• 3

• 4

What is the simplified form of y^5 under a cube root?

• y^2 under the radical

• y^2

• y^3

• y

In the quicker method, what do you do with the exponent of a variable when dividing by the index of the radical?

• Subtract the index from the exponent

• Add the index to the exponent

• Divide the exponent by the index

• Multiply the exponent by the index

Tags

CCSS.HSN.RN.A.2

Using the quicker method, what is the simplified form of a^5 under a cube root?

• a^2 under the radical

• a^2

• a^3

• a

What is the simplified form of b^7 under a cube root using the quicker method?

• b^2

• b^3

• b

• b^2 under the radical

Tags

CCSS.8.EE.A.2

In the final example, what is the simplified form of w^5 under a fourth root?

• w

• w^2

• w^3

• w^4

What is the simplified form of x^12 under a fourth root?

• x

• x^4

• x^3

• x^2

What is the simplified form of y^2 under a fourth root?

• y^2 under the radical

• y under the radical

• y

• y^2