Simplify the following radical.
\sqrt(36)
6
Simplify the following by dividing.
sqrt(frac(9)(25))
frac(3)(5)
What is the geometric mean between:
49 and 4?
Answers should be in simplified radical form.
14
Find the missing side of the right triangle.
x=24
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.
Simplify the following radical.
-2\sqrt(144)
-24
Divide the following radicals.
sqrt(frac(4)(36))
frac(1)(3)
What is the geometric mean between:
8 and 12?
Answers should be in simplified radical form.
4sqrt6
Find the missing side of the right triangle.
x=4sqrt10
or
x≈12.6
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.
Multiply and simplify completely.
\sqrt(9)*\sqrt(98)
21\sqrt(2)
Divide the following radicals.
sqrt(frac(40)(18))
frac(2sqrt5)(3)
Using the figure below, identify the similar triangles and write a similarity statement.
△IKJ~△___~△___
△IKJ~△LIJ~△LKI
Find the missing side of the right triangle. Answers should be in simplified radical form.
x=8sqrt2
or
x≈11.3
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.
Multiply and simplify completely.
3\sqrt12(\sqrt(16))
24\sqrt(3)
Rationalize the following radicals. No square roots in the denominator!
frac(7)(sqrt10)
frac(7sqrt10)(10)
Find the values of x, y, and z.
x≈ 7.2
y≈ 14.9
z≈ 8.2
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.
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.
Multiply and simplify completely.
sqrt30*sqrt42
6sqrt35
Rationalize the following radicals. No square roots in the denominator!
frac(14)(sqrt6)
frac(7sqrt6)(3)
Find the values of x, y, and z.
x=4
y≈ 37.9
z≈ 12.6
Brianna walks a total of 555 yards in one day.
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.