Rational and Irrational
What is the cube root of (-512)?
-8
Daily Double! What are two ways we can locate the hypotenuse in a right triangle?
1) It is across from the 90deg (right) angle.
2) It is the longest side.
Solve for x...
x^2 = 225
x = 15
x = -15
Compare:
1/3 ____ 0.333333
sqrt(16) ∙ 45 ... rational or irrational?
rational
Simplify sqrt(672) to its simplest radical form.
4 sqrt(42)
John walked 10 miles diagonally from the statue to the train. The statue is 6 miles north, and 8 miles east of the train station. Did John walk at a 90 degree angle?
Yes
3-4-5 = 6-8-10 Pythagorean Triple
Compare:
sqrt(52) ___ cube root (216)
sqrt(52) > cube root(216)
Which of the following has the greatest value?
1/4, 1/3, 0.3, pi
1/3
Rational (two terms that are exactly the same... all values cancel out) = 1
What whole number is sqrt(200) closest to?
14
5 sqrt(2)
x^3 - 8 = 56
x = 4
What is the distance between (-5,6) and (3,0)?
10 units
Convert 0.0033333 to its fraction form.
1/300
Simplify sqrt(110) to its simplest radical form and approximate its value to the nearest tenth.
simplified: sqrt(110) [can't be simplified!]
approx: ~10.5
A right triangle's longest side measures 50 centimeters. One of its other side lengths is 48 cm. What is the length of the third side?
16 centimeters
21, 29, 20
Yes. This satisfies the Pythagorean Theorem.
20^2 + 21^2 = 29^2
Which of the following has the least value?
sqrt(2), pi/2, 3/2
sqrt(2)
Convert 0.0343434343434 to its fraction form.
17/495
What is the approximate difference between sqrt(50) and sqrt(24)? Answer to the nearest whole number.
~2
Two buildings are 10 feet apart. The building on the left is 40 feet tall, and the building on the right is 16 feet tall. What is the the distance between the two rooftops of the building?
26 feet
Solve for x:
x^2 - 56 = 200
x = 16
What is the distance between points (-4,1) and (1,2)? Express in simplest radical form.
sqrt(34) units