Radical Review

Multiply

100

sqrt(x)(4-sqrt(x))

4sqrt(x)-x

200

sqrt(3)(sqrt(8)-2sqrt(30))

2sqrt(6) -6 sqrt(10)

300

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

7

400

(2sqrt(12)+sqrt(24))^2

72+48sqrt(2)

500

Find the height of the triangle if A right angle triangle has a hypotenuse of and a base length of 

sqrt(45)

2sqrt(20) 

sqrt(35)

Divide

100

6/sqrt(6)

sqrt(6)

200

(15sqrt(48))/(6sqrt(150)

sqrt(2)

300

(9sqrt(30)-3sqrt(18))/(3sqrt(3))

3sqrt(10)-sqrt(6)

400

sqrt((4x+1)/(3))=4

x=47/4 or 11.75

500

((20sqrt(5))/(sqrt(10))-16/sqrt(8))

6sqrt(2)

Solve

100

What is the restriction on x for the expression 

sqrt(x-7)

x is greater than or equal to 7

200

What is the restriction on x for the expression

sqrt(2x+5)

x is greater than or equal to -5/2

300

sqrt(2x)=-16

x=128

400

Graphically solve: 

sqrt(3x+4)=2x

x=1.44

500

What is the extraneous root to the radical equation 

x-3=sqrt(30-2x)

-3