Simplifying radicals numbers
Simplifying radical expressions
Distance and Midpoint
Multiplying radicals
Pythagorean
100
Simplify √45
3√5
100
Simplify √125n
5√5n
100
Find the Midpoint for (5,12), (-4,8)
(1/2, 10)
100
Simplify √(6 ) * √(6 )
6
100
a= 5, b= 8, c = ?
Round to the nearest tenth.
9.4
200
Simplify √75
5√3
200
Simplify √512m3
16m√2m
200
Find the distance between (3,13) and (5.5, 6).
Round your answer to the nearest tenth.
7.4
200
Simplify 4 √15 * √3
12√5
200
a= 20, b= ?, c= 58
Round to the nearest tenth.
54.4
300
Simplify 2√12
4√3
300
Simplify √147m3n3
7mn √3mn
300
Find the midpoint between (-12, -2) and (-10.5, -6).
(-11.25, -4)
300
Simplify 3√7r3 ⋅ 6√7r2
126r2√r
300
Is this a right triangle?
No.
400
Simplify √384
8√6
400
Simplify 3√24a4b2c3
6a2bc√6c
400
Find the distance between each pair of points with the given coordinates (3, −4), (0, 12).
Round to the nearest tenth.
16.3
400
Find the area of rectangle with length = √24 and width = √8
8√3
400
Mr. David is locked out of his house. The only open window is on the second floor. There is a bush along the edge of the house, so he places the neighbor’s ladder 10 feet from the house. To the nearest foot, what length of ladder does he need to reach the window?
A 30ft ladder.
500
Simplify 7√96
28√6
500
Simplify 3√16x4y4z
12x2y2√z
500
Find the midpoint of the line segment with endpoints at the given coordinates. Then find the distance between the points.
(−93, 15), (90, −15)
Round the distance to the nearest tenth.
(-1.5,0) and 185.4.
500
If P is power (in watts) and R is resistance (in ohms), then the voltage V necessary to run the circuit is V= √PR Find the voltage necessary to run a 40–watt amplifier with a resistance of 150 ohms.
20√15
500
TELEVISION Larry is buying an entertainment stand for his television. The diagonal of his television is 42 inches. The space for the television measures 30 inches by 36 inches. Will Larry’s television fit? Explain.
The space is 46.9 inches so Larry's TV will fit.