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

Which number, when squared, gives 9?

• 4

• 3

• 2

• 5

What is the principal square root of 36?

• 8

• 5

• 6

• 7

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

• Root

• Factor

• Radicand

• Radical

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

What is the square root of 196?

• 12

• 13

• 14

• 15

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

What is the square root of 49?

• 8

• 7

• 6

• 5

Which of the following numbers is not a perfect square?

• 25

• 36

• 16

• 30