AlgebraLab

Algebra I Exercises: Square Roots

By B Horn

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)

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

Directions and/or Common Information:

Round your answer to the nearest hundredth.

1 ± √(2)

1 ± 3√(4)

2 ± 6√(5)

2[1 ± √(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

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.