5.a Roots

Question 1

The square root of non-negative numbers always comes in _________

Answer 1

The square root of non-negative numbers always comes in PAIRS

Question 2

Which number only has one square root?

Answer 2

0, square root 0

Question 3

When the radical symbol is used, what is important to remember? √

Answer 3

When the radical symbol is used, we only consider the NON-negative square root of the number!

Question 4

√positive number, will be ________

Answer 4

√positive number, will be POSITIVE

When radical symbol is used, only non-negative square root counts

Question 5

The square root of a variable squared is equal to… ?

Answer 5

The square root of a variable squared is equal to the absolute value of that variable

Question 6

Explain how you would solve this?

Answer 6

Question 7

Solve this:

Answer 7

III. 8

Question 8

What do you call the number at the top left of a radical?

Answer 8

The radical index

Question 9

What is the index of this number?

Answer 9

4 is the radical index

Question 10

What must you know about this? (if n is even)

Answer 10

The result is positive!

Question 11

What must you know about this? (if n is odd)

Answer 11

The result is x, even if x is negative

Question 12

Explain the math thinking behind why there is a difference between even and odd as the radical index?

Answer 12

If even it has to be positive since you can not take the even root of a negative number. Eg. -100 can’t be broken down!

However, you can for odd roots, eg. -27 = -3 x -3 x -3

Question 13

The square root of a perfect number is ___________

Answer 13

The square root of a perfect number is AN INTEGER

Question 14

What are the perfect squares up to 225?

Answer 14

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225