Unit 1- Radicals

Rational vs. Irrational

100

Which of the following numbers is irrational? 

sqrt4, 3/5, pi, 0.75

pi

200

The square root of any perfect square is....?

Rational 

300

Which expressions results in an irrational number?

sqrt3timessqrt3 

-2/3+1/4

5timessqrt81 

1/3+sqrt3

2 and 3

400

Is AB rational or irrational if: 

A= 363 and B=27 

Rational

500

All rational numbers are natural numbers

False

Simplifying Radicals

100

Simplify 

sqrt81

9

200

Simplify 

sqrt72

6sqrt2

300

Simplify 

sqrt50

5sqrt2

400

Simplify 

-4sqrt56

-8sqrt14

500

Simplify 

1/4sqrt96

sqrt6

Adding and Subtracting Radicals

100

2sqrt5+3sqrt5

5sqrt5

200

10sqrt3-3sqrt3-2sqrt3

5sqrt3

300

Simplify 

5sqrt2-2sqrt8

3sqrt2

400

Simplify 

7sqrt5-4sqrt20

-sqrt5

500

Simplify 

3sqrt12+5sqrt75-2sqrt48

23sqrt3

Multiplying and Dividing Radicals

100

Simplify 

sqrt2timessqrt8

sqrt16 = 4

200

Simplify 

3sqrt5times2sqrt5

30

300

Simplify 

sqrt50/sqrt2

sqrt25=5

400

Simplify 

sqrt(12x)timessqrt(3x)

sqrt(36x^2)=6x

500

Simplify 

(6sqrt(40))/(3sqrt2)

4sqrt5

Rationalizing the Denominator

100

Rationalize 

1/sqrt3

sqrt3/3

200

Rationalize 

6/sqrt2

3sqrt2

300

Rationalize 

4/sqrt8

sqrt2

400

Rationalize 

7/(2sqrt5

(7sqrt5)/10

500

Simplify 

24/(12sqrt8)

sqrt2/2