Rules for Radicals
To make this disappear, multiply a square root times itself
What is the radical symbol?
Mr. Grady says to rationalize a radical fraction, just multiply it by a fancy version of this
What is one?
The Pythagorean Theorem is valid only for this kind of triangle
What are right triangles?
If we have one side of these special triangles, we have shortcuts to find the other two sides. One is a 30-60-90 triangle; this one is the other
What is a 45-45-90 triangle?
The year the Chicago Bears last won the Super Bowl
What is 1986?
When multiplying radicals, combine radicals under the square root, then reduce if you can by looking for this kind of factor
Perfect squares
This is the square root of 16 over the square root of 4
What is 2?
If a right triangle has side lengths a, b & c, where c is the hypotenuse, then the Pythagorean formula reads
What is a2 + b2 = c2?
Plainfield Central's mascot
What is the Wildcat?
In the 1990s, The Chicago Bulls won 6 NBA championships with head coach Phil Jackson running this offense
What is the Triangle Offense?
True or false:
Any operation we can do under a radical, we can undo under a radical
What is true
Another word to say "remove the radical from the denominator"
What is rationalization?
A Pythagorean Triple is a set of three of these side lengths that form a right triangle
What are whole numbers?
Respectively (meaning in this order), the number of equal side lengths in a 45-45-90 triangle and in a 30-60-90 triangle
What are 2 & 1
Announcer Ken Harrelson gave this nickname to White Sox first baseman Frank Thomas
What is The Big Hurt
This perfect square remains under the radical when multiplying
5 * root 15 * root 5 = _?_ * root 3
What is 25?
Simplifying 3 * square root 14 / 5 * square root of 7 gives you this
What is 3 square root 2 / 5
Mr. Grady went to college here
What is the University of Notre Dame?
If a 30-60-90 triangle has a hypotenuse that 12 inches long, this must be the length of the side opposite the 30 degree angle
What is 6?
In terms of n, the ratio of the lengths of the short leg, the long leg, and the hypotenuse of a 30-60-90 right triangle
What is n, n root 3, & 2n?
We don't ever want to see a radical in this part of a fraction
What is the denominator?
Mr. Grady has three of this breed of dogs at home
What are dachshunds?
Also acceptable - sausage dogs or wiener dogs?
True or false: 5, 12, and 13 form a Pythagorean triple
What is true?
If a 30-60-90 triangle has a hypotenuse that is 12 inches long, the side opposite the 60 degree angle must be this long
What is 6 root 3 inches
A 45-45-90 triangle has identical legs of length 7, so the hypotenuse must be this
7 root 2