Roots and Ordering Numbers

Square Roots

100

Evaluate the square root:

√81

9

200

If the area of a square garden is is 36ft², how long is one side of the garden?

6ft

Bonus: How many feet of fencing would you need for this garden? (What is the Perimeter?) 

300

Evaluate the square root:

√(-196)

Undefined/Imaginary/Not Real

400

Evaluate the square root:

√(4/256)

1/8 

(Simplified from 2/16)

500

Evaluate the square root:

√2.25

1.5

Cube Roots

100

Evaluate the cube root:

∛512

8

200

∛-1

-1

300

∛343

7

500

Is the following number rational or irrational?

                  4π

Irrational

Solve the Equation

100

Solve for p:

p²=25

p=5

200

x²=49

x=7

300

y²=36/144

y=1/2

(simplified from 6/12)

500

Is the following number rational or irrational;

√16

Rational

(√16=4, This number is Rational and it also fits into the categories of Integer, Whole, and Natural Numbers)

Estimating Square roots

100

Estimate the square root to the nearest integer:

√82

≈9

200

Estimate the square root to the nearest integer:

√94

≈10

300

Estimate the square root to nearest integer:

-√34

≈-6

500

Is the following number rational or irrational

0.252525...

Rational

Ordering Rational and Irrational Numbers

100

Fill each blank with <, >, = to make the statement true.

115% ______ √1.44

115% < √1.44

(115%=1.15, √1.44 = 1.2)

200

Fill in each blank with <,>, or = to make a true statement.

2/3 ______ √1

2/3 < √1

(2/3=.6666,√1=1) 

300

Fill in the blank with <,>, or = to make a true statement. 

√10 ____ 3

√10 > 3

400

Fill in the blank with <,>, or = to make a true statement.

0.9 _____ √0.81

0.9 = √0.81

500

Order the following numbers from least to greatest.

√14, 5, 7, √29, √16

√14, √16, 5,√29, 7

(√14 is less than 4, √16=4, √29 is more than 5)