Understanding Square Roots

The video tutorial explains how to simplify square roots, starting with a basic definition: if 'A' squared equals B, then 'A' is the square root of B. It focuses on positive square roots, using examples like the square roots of 9 and 36, which simplify to 3 and 6, respectively. The tutorial also covers more complex cases using prime factorization, demonstrated with the square root of 196, which simplifies to 14. The key takeaway is that when two equal factors are under a square root, it simplifies to one of those factors.

What is the principal square root of 16?

• -4

• 16

• 4

• 8

Tags

CCSS.8.EE.A.2

Which number, when squared, gives 9?

• 4

• 3

• 2

• 5

Tags

CCSS.8.EE.A.2

What is the principal square root of 36?

• 8

• 5

• 6

• 7

Tags

CCSS.8.NS.A.1

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

• Root

• Factor

• Radicand

• Radical

Tags

CCSS.8.NS.A.1

What is the prime factorization of 196?

• 7 x 28

• 2 x 2 x 7 x 7

• 2 x 2 x 49

• 2 x 98

Tags

CCSS.8.EE.A.2

What is the square root of 196?

• 12

• 13

• 14

• 15

Tags

CCSS.8.EE.A.2

Which of the following is a perfect square?

• 25

• 18

• 20

• 30

If a number is a perfect square, what can be said about its factors?

• They are all prime

• They are all even

• They are equal

• They are all odd

Tags

CCSS.8.EE.A.2

What is the square root of 49?

• 8

• 7

• 6

• 5

Tags

CCSS.8.EE.A.2

Which of the following numbers is not a perfect square?

• 25

• 36

• 16

• 30

Tags

CCSS.8.EE.A.2