Understanding Square Roots

The video tutorial explains the concept of square roots, focusing on the radical symbol and radicand. It describes the principal square root and demonstrates how to simplify square roots through examples. The tutorial also covers the use of prime factorization to simplify larger radicands, emphasizing the product rule for square roots.

What is the symbol used to denote a square root?

• Fractional symbol

• Logarithmic symbol

• Exponential symbol

• Radical symbol

What is the term for the number under the square root symbol?

• Base

• Radical

• Radicand

• Exponent

What is the principal square root of 25?

• 20

• 5

• 15

• 10

How can the square root of 4 be simplified?

• As 3

• As 2

• As 4

• As 1

What is the principal square root of 16?

• 5

• 4

• 3

• 2

Which number squared equals 81?

• 8

• 10

• 7

• 9

What is the principal square root of 121?

• 13

• 12

• 11

• 10

What is the first step in the prime factorization of 324?

• Divide by 2

• Divide by 7

• Divide by 5

• Divide by 3

How many factors of 9 are there in the prime factorization of 324?

• One

• Three

• Four

• Two

What is the simplified square root of 324 using prime factorization?

• 16

• 19

• 18

• 17