Square & Cube Roots
Evaluating Roots
Estimating Square Roots
Irrational Vs. Rational
Word Problems
100

The square root of 4

What is 2

100

x= 1


1

100

What two perfect square roots does the square root of 68 fall in between?

64 & 81

100

Is the number 0.4444444... a rational or irrational number? Why?

Rational because it is a repeating decimal.
100

What formula is used for finding the side length of a square?

A = s2

200

The cube root of 125

What is 5

200

g= -27

-3

200

What two perfect square roots does the square root of 132 fall in between?

121 & 144

200

Is the square root 120 rational or irrational? Why?

Irrational because it is not a perfect square.

200

What formula is used to find the side length of a cube?

V = s2

300

The two answers to the square root of 64

What is +8 & -8

300

m= 576

24

300

What integer is the square root of 75 closest to?

9

300

Is the square root of 81 rational or irrational? Why?

Rational because it is a perfect square.
300

The area of a square is 361 square meters. What is the side length of the square?

19 meters

400

The cube root of -343

what is -7

400

j= 216

6

400

What integer is the square root of 99 closest to?

10

400

Is the decimal 3.232232223... rational or irrational number? Why?

Irrational because it is not a terminating or repeating decimal. It can also NOT be turned into a fraction.

400

The volume of a cube is 343 cubic inches. What is the side length of the cube?

7 inches

500

How many answers can the square root of a number have? Why?

Two. One positive, one negative

> positive x positive = positive

> negative x negative = positive

500

h2 = -196

Not possible. You cannot have a negative answer when taking a number squared.


 

500

What is the square root of 215 rounded to the nearest tenth?

14.7

500

What is the difference between rational and irrational numbers?

Rational numbers can be written as a fraction and irrational numbers can not be written as a fraction.

500

The area of a square is 100 square feet. Using the side length, what is the total length of the square?

40 feet
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