Simplifying Radicals
√64
What is 8?
8√5 - 3√5
What is 5√5?
The side opposite the right angle in a right triangle
What is the hypotenuse?
The mid-point between (4, 7) and (10, -3)
What is (7, 2)?
Rational or Irrational:
√80
Irrational
√32
What is 4√2?
2√8 + 3√50
What is 19√2?
The length of c, to the nearest tenth, if a = 5 and b = 6
What is 7.8?
The distance between (12, 8) and (0, 2) in simplified form
What is 6√5?
Rational or Irrational
√196
Rational
√108x3
What is 6x√3x?
√6 • √10
What is 2√15?
The length of c, in simplified form, if a = 9 and b = 15.
What is 3√34?
The midpoint between (-3, -9) and (-11, - 7)
What is (-7, -8)?
Sometimes, Always, or Never:
A square root is irrational
Sometimes
5√45
What is 15√5?
√(27/25)
What is 3√3/5?
The length of a, to the nearest tenth, if b = 4 and c = 10
What is 9.2?
The distance between (9, -2) and (4, 7), to the nearest tenth
What is 10.3?
A negative fraction is ___________ a rational number (always, sometimes, or never)
always
7√(18a2b)
What is 21a√(2b)?
Simplify: √7/√36
What is √7 / 6?
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?
The distance between the point (4, 2) and the midpoint of the segment (5, 1) and (-1, 3)
What is 2?
Sometimes, Always or Never:
An irrational number is real
Always