Multiplying
Simplifying
Simplifying with Variables
Solving Square Roots
Fourth Root
100

Generally speaking, in order to multiply radicals, which of the following must be true?

(a) The radicals must have the same radical sign

(b) The radicals must have the same radicand

(c) The radicals must have the same number outside the radical sign

(d) Both a and b

(a) The radicals must have the same radical sign

100

Simplify √12 

2√3

100

Simplify √x5

x2√x

100

Find two real solutions for the equation:

x2=4

x=+-2

100

Take the fourth root of: 256

4

200

Multiply the following radicals: √5 x √8. Simplify if necessary.

2√10

200

Simplify √54

3√6

200

Simplify xy√x3y4

 

x2y3√x

200

Find two real solutions for the equation:

x2=0.16

x=+- .4

200

Simplify: 

root(4)((m-n)^4)

(m-n)

300

Multiply the following radicals: √10 times 3√20

30√2

300

Simplify -3√28

-6√7

300

Simplify √75x3y4

5xy2√3x

300

Find two real solutions for the equation:

x2=16/49

x=+- 4/7

300

Simplify: 

root(4)((x^4)/81)

x/3

400

Multiply the following radicals: -3√28a times √3a2

-6a2√21

400

Simplify the following radical 4∛125

20
400

Simplify 4x√160x2y3z

16x2y√10yz

400

Find two real solutions for the equation:

x2=121/625

x=+- 11/25

400

Find two real solutions for the equation:

x4=16/625

x = +- 2/5

500

Multiply the following radicals: 4√6(2√27-√18)

72√2-24√3

500

Simplify: ∛-48

-2∛6

500

Simplify 2∛250x3y4

10xy∛2y

500

Find two real solutions for the equation:

x2=0.000009

x=+- .003

500

Find two real solutions for the equation:

x4=0.0001

x = +-.1