Radical Expressions

Simplifying Radical Expressions

100

sqrt(25x^6)

5x^3

200

root4(16x^16y^20)

2x^4y^5

300

sqrt(18x^7)

3x^3sqrt(2x)

400

root3(-16x^12y^5)

-2x^4yroot3(2y^2)

500

root3(125x^4y^2

5xroot3(xy^2)

Adding & Subtracting Radical Expressions

100

9sqrt(3) + 2sqrt(3)

11sqrt(3)

200

6sqrt(2)-5root3(2)

Can't subtract.

Indexes are different.

300

5root3(xy)+root3(xy)

6root3(xy)

400

root3(250)-root3(54)

2root3(2)

500

3sqrt(32)+2sqrt(50)

22sqrt(2)

Multiply Radical Expressions

100

7sqrt(3)*sqrt(3)

21

200

3sqrt(9x^2) * 2sqrt(9y^5)

54xy^2sqrt(y)

300

sqrt(xy)*sqrt(4xy)

2xy

400

7sqrt(3y^2)*2sqrt(6x^3y)

42xysqrt(2xy)

500

4root3(54y^2)*2root3(2x^3y^5)

24xy^2root3(4y)

Multiplying Binomial Radical Expressions

100

sqrt(5)(sqrt(2)-3sqrt(5))

sqrt(10)-15

200

(1+4sqrt(10))(2-sqrt(10))

-38+7sqrt(10)

300

(4-2sqrt(3))^2

28-16sqrt(3)

400

Multiply each pair of conjugates.

(1-sqrt(7))(1+sqrt(7))

-6

500

Multiply each pair on conjugates.

(3sqrt(2)-9)(3sqrt(2)+9)

-63

Dividing Radical Expressions

100

sqrt(75)/sqrt(3)

5

200

(21sqrt(48))/(7sqrt(2))

6sqrt(6)

300

sqrt(54x^5y^3)/sqrt(2x^2y)

3xysqrt(3x)

400

(sqrt(x^6y^10))/(sqrt(x^4y^7))

xysqrt(y)

500

(3sqrt(27))/(sqrt(20))

(9sqrt(15))/10

Mystery

100

Mr. Josef studied mathematics at which university?

a) San Jose State

b) San Diego State

c) Cal Poly Humboldt

d) UC Santa Cruz

Cal Poly Humboldt

200

Teacher Josef has corduroy pants of what color?

a) Black

b) Brown

c) Green

d) Grey

Green

300

Which musician does Mr. Josef listen to?

a) Omar Apollo

b) Doja Cat

c) Kali Uchis

d) SZA

All of them!!

400

Mr. Josef is a...

a) Scorpio

b) Leo

c) Gemini

d) Libra

Scorpio

500

What job did Mr. Josef do before teaching? (Hint: He did it during the first semester too.)

Barista