Ch. 7 Real Numbers and the Pythagorean Theorem

Square Roots

100

Find the square root of -√256

-16

200

Find the square root of √36/81

2/3

300

Evaluate the expression 12 - √16

8

400

Solve the equation. x² = 196

x = 14, -14

500

A trampoline has an area of 49π square feet. What is the diameter of the trampoline?

14 feet

Cube Roots

100

Find the cube root of ∛-64

-4

200

Find the cube root of ∛125/343

5/7

300

Evaluate the expression 4 - ∛-216

10

400

Evaluate the expression 3∛27 - 16

-7

500

The volume of a cube is 729 cubic inches. What is the edge length of the cube?

9 in.

Approximating Square Roots

100

Classify the real number. √49

rational, integer, whole, natural

200

Classify the following number. -153/3

rational

300

Estimate the square root to the nearest integer. √60

8

400

Which number is greater? -√18 or -6

-√18

500

The velocity in meters per second of a ball that is dropped from a window at a height of 10.5 meters is represented by the equation v = √2(9.8)h Estimate the velocity of the ball. Round to the nearest tenth.

14.3 meters per second

Pythagorean Theorem

100

Find the length of the hypotenuse of a triangle with the leg lengths of 21 cm and 28 cm.

35 cm

200

Find the missing length of a triangle whose hypotenuse measures 13 in. and one leg is 5 in.

12 in.

300

In wood shop, you make a bookend that is the shape of a right triangle. It is 8 in. tall and has a hypotenuse of 10 in. What is the base of the the bookend?

6 in.

400

The square of a hypotenuse of a triangle is 64 meters. What is the hypotenuse?

8 meters

500

Find the missing length of the figure.

3 cm