Radicals

Question 1

What can never be square rooted?

Answer 1

A negative number

Question 2

If your radical has a negative number under the square root sign, what is your answer?

Answer 2

It’s not a real number

Question 3

How do you Simplify a Perfect Square Radical?

Answer 3

The answer is the number that can be multiplied by itself to equal that perfect square

Example: √25

= 5

Question 4

How to you simplify a Complex Radical?

Answer 4

Leave the number infront, and simplify the radical.

Example: 9 √18

= 9 √9 √2

= 9 X 3 √2

=27 √2

Question 5

If your radical cannot be divided by any of the perfect squares, what is the answer?

Answer 5

Your original radical

Example: √30

= √30

Question 6

How do you Simplify a Radical?

Answer 6

Step 1) Go through your perfect squares list and find which square divides evenly into your radical

Step 2) Continue simplifying until you no longer can

Question 7

What are the First 13 Perfect Squares?

Answer 7

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

Question 8

What is a Perfect Square?

Answer 8

The answer when a number is multiplied by itself evenly.

Example: 3 x 3 = **9 **

Therefore 9 is a perfect square