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)

-√(25)

±√(196)

√(43)

-√(59)

√(49)

±√(197)

√(81)

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

a = 1 b = -4 c = -6

a = -5 b = 1 c = 4

a = 4 b = -5 c = 8

a = 7 b = 3 c = -3

a = 0 b = -4 c = -3

a = 3 b = -3 c = -9

a = 9 b = 9 c = 9

Question Group #3

Directions and/or Common Information: Round your answer to the nearest hundredth.

1 ± √(2)

1 ± 3√(4)

2 ± 6√(5)

2[1 ± √(4)]

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

a = 4 b = 2

a = 1 b = 1

a = 6 b = 1

a = 6 b = 8

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

a = 1 b = 3 c = 2

a = 5 b = 12 c = 13

A right triangle.