Square Roots
Square Root & Cube Root Expressions
Square Root and Cube Root Equations
Pythagorean Theorem
Pythagorean Theorem Word Problems & Distance
100
What is - sqrt(25
-5
100
Evaluate:
4sqrt(25) - sqrt(64)
12
100
Solve the equation:
x2 = 100
x = pm10
100
Find the missing hypotenuse of a right triangle if the two legs have lengths of 3 and 4.
5 units
100
Find the distance between (0, 5) and (10, 0). Round your answer to the nearest tenth.
11.2 units
200
What is
sqrt(25/49)
5/7
200
Evaluate:
-3sqrt81 + 5sqrt25
-2
200
Solve the equation:
5x2 = 245
x=pm7
200
Find the missing leg of a right triangle if it has a hypotenuse of 13 and a leg of 12.
5 units
200
Find the distance between (-2, 3) and (5, 0). Round your answer to the nearest tenth.
7.6
300
What is root(3)(343
7
300
Evaluate:
3sqrt(49/25) - 4/5
17/5
300
Solve the equation:
x3 = 343
x = 7
300
Find the missing leg of a right triangle if it has a hypotenuse of 6.5 cm and a leg of 1.6 cm.
6.3 cm
300
A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance? Round to the nearest whole number.
164 meters
400
What is root(3)(-64
-4
400
Evaluate:
4root(3)(-27) + 30
18
400
Solve the equation:
x3 = -343
x = -7
400
Find the missing side length. Round to the nearest tenths place if necessary. 
12.5 miles
400
How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12- foot tall wall?
9 feet
500
What is sqrt(-25)
No real solution
500
Evaluate:
50 - 4root(3)(-64)
66
500
Solve the equation:
x3- 40 = 176
x = 6
500
Find the missing side length. Round to the nearest tenths place if necessary.
20.6 yd
500
David leaves the house to go to school. He walks 200m west and 125m north. How far away is he from his starting point? Round your answer to the nearest tenth.
235.8 meters