Radicals -Vanessa

Simplifying radicals numbers

100

Simplify √45

3√5

200

Simplify √75

5√3

300

Simplify 2√12

4√3

400

Simplify √384

8√6

500

Simplify -7√96

-28√6

Perfect squares

100

Simplify √25

5

200

Simplify √36

6

300

Simplify √49

7

400

Simplify √225

15

500

Simplify √196

14

Steps of simplifying Radicals

100

What is the first step of simplifying a radical

Find Factors

200

Where do the pairs go in relation to the radical ?

Outside of radical

300

Where do the singular or isolated numbers in left after the pairs go? I.e if you had Square root of 20 it simplifies to 2, 2, and 5 ... where does the 5 go?

Inside or underneath the radical 

400

What happens if you have more than one pair when simplifying radicals? 

You multiply them outside of the radical 

500

When you first begin to simplify the number 64 it breaks down to 8 and 8... what does this mean? The number 64 is a P_______ S________ 

Perfect Square 

Bonus Column each question is 200

100

What does the negative exponent rule state

All exponents must be Positive 

200

This property states that when you multiply powers you add them ... what is the property?

Product of powers 

300

x^-3 Solve 

1/x³

400

Solve : √24 

2√6

500

The term inside the radical is known as ? 

Radicand

Skip

100

Simplify 2 √5 * (√6 + 2)

2 √30 + 4 √5

200

Simplify √3v * (√6 + √10)

3√2v + √30v

300

Simplify (√5 + √8) (√45 + √8)

23 + 8√10

400

Simplify √6(4√12 + 5√8)

24√2 + 20√3

500

Simplify (3√20 + 4√25)(4√5 - 3√4)

28√5