Square Root Equations
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Distance or Midpoint
100
x2 = 1
± 1
100
Simplify √(4⁄9)
2⁄3
100
Label the number as irrational, rational, integer, or whole. -5⁄6
rational
100
Would a triangle with these side lengths be a right triangle? 1 in., 2 in., and 5 in.
No
100
Find the midpoint of (-6,2) and (-2,2).
(-4,2)
200
b2 = 81
± 9
200
Simplify √(100⁄49)
10⁄7
200
Is the following number irrational, rational, integer, or whole? √11
irrational
200
Would a triangle with these side lengths be a right triangle? 9 cm, 12 cm, and 15 cm
yes
200
Find the midpoint of (-6,2) and (-4,-2).
(-5,0)
300
196 = t2
t = ± 14
300
Simplify √30
√30
300
Is the following number irrational, rational, integer, or whole? √64
whole
300
What is the other leg of a right triangle with one leg of 8 cm and a hypotenuse of 12 cm?
4√5 cm or about 8.94 cm
300
Find the distance between (3,-4) and (4,3).
5√2 or about 7.07
400
441 = h2
h = ± 21
400
Simplify √108
6√3
400
Is the following number irrational, rational, integer, or whole? √49⁄8
rational
400
What is the hypotenuse of a right triangle if both legs are 19 cm?
19√2 or about 26.87 cm
400
Find the distance between (-2,0) and (-1,1).
√2 or about 1.41
500
A square room has an area of 14,400 square inches. Find the dimensions of the room.
120 inches by 120 inches.
500
Simplify √(5⁄36)
√5⁄6
500
Is the following number irrational, rational, integer, or whole? -√3.6
irrational
500
The hypotenuse of a 30-60-90 right triangle is 50 m. What is the length of the long leg?
25√3 or about 43.30 m
500
Find the distance between (1,6) and (4,10).
5
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