2A Simplifying Radicals
2A Dividing & Rationalizing Radicals
2B Geometric Mean
2C Pythagorean Theorem
2C Converse of the Pythagorean Theorem
100
Simplify the following radical.
\sqrt(36)
6
100
Simplify the following by dividing.
sqrt(frac(9)(25))
frac(3)(5)
100
What is the geometric mean between:
49 and 4?
Answers should be in simplified radical form.
14
100
Find the missing side of the right triangle.
x=24
100
Classify the triangle as acute, obtuse, or right using the information below.
Given: 6, 8, 10
6^2+8^2=^?10^2
36+64=^?100
100=100
These measures of side length represent a RIGHT TRIANGLE.
200
Simplify the following radical.
-2\sqrt(144)
-24
200
Divide the following radicals.
sqrt(frac(4)(36))
frac(1)(3)
200
What is the geometric mean between:
8 and 12?
Answers should be in simplified radical form.
4sqrt6
200
Find the missing side of the right triangle.
x=4sqrt10
or
x≈12.6
200
Classify the measures of side lengths as acute, obtuse, or right using the information below.
Given: 5, 7, 9
5^2+7^2=^?9^2
25+49=^?81
74<81
These measures of side length represent an OBTUSE TRIANGLE.
300
Multiply and simplify completely.
\sqrt(9)*\sqrt(98)
21\sqrt(2)
300
Divide the following radicals.
sqrt(frac(40)(18))
frac(2sqrt5)(3)
300
Using the figure below, identify the similar triangles and write a similarity statement. 
△IKJ~△___~△___
△IKJ~△LIJ~△LKI
300
Find the missing side of the right triangle. Answers should be in simplified radical form.
x=8sqrt2
or
x≈11.3
300
Classify the measures of side length as an acute, obtuse, or right triangle.
5, 9, 10
The side lengths represent an ACUTE TRIANGLE because
106>100.
400
Multiply and simplify completely.
3\sqrt12(\sqrt(16))
24\sqrt(3)
400
Rationalize the following radicals. No square roots in the denominator!
frac(7)(sqrt10)
frac(7sqrt10)(10)
400
Find the values of x, y, and z.
x≈ 7.2
y≈ 14.9
z≈ 8.2
400
Perry wants to replace the net on his basketball hoop. The hoop is 10 feet high. Perry places his ladder 4 feet from the base of the hoop. How long must the ladder be to reach the top? Round answers to the nearest tenth.
The ladder must be at least 10.8 feet long to reach the top of the hoop.
400
Classify the measures of side length as an acute, obtuse, or right triangle.
sqrt7, sqrt13, sqrt25
The measures of side length represent an OBTUSE TRIANGLE because
20<25.
500
Multiply and simplify completely.
sqrt30*sqrt42
6sqrt35
500
Rationalize the following radicals. No square roots in the denominator!
frac(14)(sqrt6)
frac(7sqrt6)(3)
500
Find the values of x, y, and z.
x=4
y≈ 37.9
z≈ 12.6
500
Brianna walks around a triangular park, daily. The longest side of the park measures 75 yards and the shortest side measures 45 yards. If she walks 3 full laps around the park, how far does she walk in one day?
Brianna walks a total of 555 yards in one day.
500
Classify the measures of side length as an acute, obtuse, or right triangle.
sqrt7, sqrt9, 4
The side lengths represent a RIGHT TRIANGLE because
16=16.