Understanding Radicals and Roots

The video tutorial introduces radicals, starting with square roots and extending to cube and fourth roots. It explains how to simplify expressions with higher power roots and introduces the concept of fractional exponents. The tutorial also covers simplifying radicals with variables, using prime factorization and exponent properties to aid understanding.

What does the radical sign with a number 9 under it represent?

• The fourth root of 9

• The negative square root of 9

• The cube root of 9

• The principal square root of 9

Tags

CCSS.8.EE.A.2

What is the cube root of 27?

• 9

• 3

• 12

• 6

Tags

CCSS.HSN.RN.A.2

How can the fifth root of a number be expressed using exponents?

• As the number to the power of 2

• As the number to the power of 1/5

• As the number to the power of 5

• As the number to the power of 1/2

What is the fifth root of 96 simplified in radical form?

• 2 times the fifth root of 3

• 3 times the fifth root of 2

• 5 times the fifth root of 2

• 2 times the fifth root of 5

What is the sixth root of 64?

• 8

• 4

• 2

• 16

Tags

CCSS.8.EE.A.2

How can x to the eighth power be expressed to simplify the sixth root?

• x to the sixth power times x squared

• x to the fourth power times x squared

• x to the second power times x to the sixth

• x to the eighth power times x

What is the simplified form of 2 times x to the 4/3 power?

• 2 times x to the 2/3

• 2 times x to the 1/3

• 2 times x to the 4/3

• 2 times x to the 3/4

What is the equivalent of x squared to the 1/6 power?

• x to the 1/12

• x to the 1/2

• x to the 1/6

• x to the 1/3

Tags

CCSS.8.EE.A.1

What is the result of adding 1 to 1/3 in terms of exponents?

• 4/3

• 1/3

• 5/3

• 2/3

What is the importance of prime factorization in finding higher power roots?

• It is only used for square roots

• It helps in finding the principal root

• It complicates the process

• It is not useful