Algebra I Exercises: Square Roots

Question Group #1
Directions and/or Common Information: Find the square root of each number. Round to the nearest hundredth.
 √(9)
 1

 -√(25)
 2

 ±√(196)
 3

 √(43)
 4

 -√(59)
 5

 √(49)
 6

 ±√(197)
 7

 √(81)
 8

Question Group #2
Directions and/or Common Information: Solve the equation √(b2 - 4ac)  with the given variables. Give your answer in radical and decimal form.
 a = 3       b = 3        c = 1
 1

 a = 1       b = -4       c = -6
 2

 a = -5      b = 1        c = 4
 3

 a = 4       b = -5       c = 8
 4

 a = 7       b = 3        c = -3
 5

 a = 0       b = -4       c = -3
 6

 a = 3       b = -3       c = -9
 7

 a = 9       b = 9        c = 9
 8

Question Group #3
 1 ± √(2)
 1

 1 ± 3√(4)
 2

 2 ± 6√(5)
 3

 2[1 ± √(4)]
 4

 5

 6

Question Group #4
Directions and/or Common Information: a and b are the lengths of two sides to a right triangle. Find the length of the third side. If the answer is not a whole number leave in radical form.
 a = 2        b = 3
 1

 a = 4        b = 2
 2

 a = 1        b = 1
 3

 a = 6        b = 1
 4

 a = 6        b = 8
 5

Question Group #5
Directions and/or Common Information: a, b, and c are the lengths of the sides of a triangle. Use the Pythagorean Theorem to determine if they are right triangles.
 a = 1    b = 1   c = 2
 1

 a = 1   b = 3   c = 2
 2

 a = 5   b = 12   c = 13
 3

 A right triangle.
 4

B Horn

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