Simplifying
Radicals
Operations with Radicals
Power
Equations
Distance and
Midpoint
Random
100

Simplify:

sqrt(72)

6sqrt(2)

100

Simplify:

3sqrt(8) +2sqrt(18)

12sqrt(2)

100

Solve for x:

x^2=49

x=+-7

100

Find the midpoint of (2,4) and (6,8)

(4,6)

100

What is the number inside the radical called?

Radicand

200

Simplify: 

sqrt(180)

6sqrt(5)

200

Simplify:

(2sqrt(12))(3sqrt(6))

36sqrt(2)

200

Solve for x:

x^3=125

x=5

200

Find the distance between (1,2) and (4,6)

5

200

Rationalize and simplify:

5/(2sqrt5)

sqrt5/2

300

Simplify:

sqrt(288)

12sqrt(2)

300

Simplify:

4sqrt(27) -3sqrt(12) +sqrt(75)

11sqrt(3)

300

Solve for x:

2x^2=72

x=+-6

300

Find the midpoint of (-7,5) and (3,-9)

(-2,-2)

300

Explain why 

(sqrta) (sqrta) =a

sqrta=a^(1/2)

(sqrta) (sqrta) = a^(1/2) a^(1/2)=a

400

Simplify:

sqrt(432)

12sqrt(3)

400

Simplify:

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

16+5sqrt(15)

400

Solve for x:

3x^3+6=30

x=2

400

Find the distance between (-3,4) and (5,-2)

10

400

Simplify:

(3x^4y^2)^2/(9x^3y

x^5y^3

500

Simplify:

sqrt(675)

15sqrt(3)

500

Simplify:

(6sqrt(3))/(sqrt(8))

(3sqrt(6))/2

500

Solve for x:

4(x-2)^2=100

x=7, -3

500

The midpoint of A(x,3) and B(8,11) is (5,7). Find x

x=2

500

Rationalize and simplify:

(4sqrt6)/(3sqrt8)

(2sqrt3)/3

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