Simplifying Radicals
Radical Operations
Pythagorean Theorem
Distance/Mid-point
Compare Real Numbers
100

√64

What is 8?

100

8√5 - 3√5

What is 5√5?

100

The side opposite the right angle in a right triangle

What is the hypotenuse?

100

The mid-point between (4, 7) and (10, -3)

What is (7, 2)?

100

The comparison symbol belonging between 

√2 and 9/5

What is < (less than)?

200

√32

What is 4√2?

200

2√8 + 3√50

What is 19√2?

200

The length of c, to the nearest tenth, if a = 5 and b = 6

What is 7.8?

200

The distance between (12, 8) and (0, 2) in simplified form

What is 6√5?

200

The comparison symbol belonging between

3.6/3 and √1.44

What is 1.2?

300

√108

What is 6√3?

300

√6 • √10

What is 2√15?

300

The length of c, in simplified form, if a = 9 and b = 15.

What is 3√34?

300

The midpoint between (-3, -9) and (-11, - 7)

What is (-7, -8)?

300

A real number is ___________ a rational number (always, sometimes, or never)

What is sometimes?

400

5√45

What is 15√5?

400

√(27/25)

What is 3√3/5?

400

The length of a, to the nearest tenth, if b = 4 and c = 10

What is 9.2?

400

The distance between (9, -2) and (4, 7), to the nearest tenth

What is 10.3?

400

A negative fraction is ___________ a rational number (always, sometimes, or never)

What is always?

500

7√(18a2b)

What is 21a√(2b)?

500

Rationalize the Denominator: √7/√3

What is √21 / 3?

500

A 12-foot ladder is leaned against the side of the house. Its base is 5 foot from the house. Find how far up the house wall the ladder goes, to the nearest tenth.

What is 10.9?

500

Point B such that the midpoint between (7, 6) and B is (12, 9)

What is (17, 12)?

500

Order from least to greatest:

-√19, 3√2, -14/3, 11/2

What is -14/3, -√5, 3√2, 11/2?

M
e
n
u