Ilearn Review (2024)

Squares & Square Roots

Today I will evaluate squares and their roots

Consider a square with an area of 49 square inches. Explain how you would determine the length of each side for such a square.

(Participation Points)

Squaring a number is raising that number to the power of ^two.

This tells you that you should multiply that number by itself. For example 5² means 5x5, which is just 25.

Taking the square root of a number is the opposite of squaring it. 

Multiple Choice

Which number is greater?

√50, 8

• √50

• 8

Multiple Choice

Which number is greater?

-√90, -11

• -√90

• -11

Multiple Choice

What is equal to $$14^2$$  ?

• 121

• 196

• 144

• 169

Multiple Choice

What is 2 cubed?

2³

• 8

• 6

• 4

• 16

Multiple Choice

What number, n, cubed is equal to 64?

n³ = 64

• 4

• 2

• 8

• 262,144

Multiple Choice

$$-6^2$$  = ? 

• 36

• -36

• 12

• -12

Multiple Choice

$$\left(-6\right)^2$$  = ?

• 12

• -12

• -36

• 36

Multiple Choice

True or False: 49 is a perfect square

• True

• False

Multiple Choice

True or False: 37 is a perfect square

• True

• False

Multiple Choice

True or False: 60 is a perfect square

• True

• False

Multiple Choice

Which number is a Rational Number?

• $$\sqrt[]{17}$$  

• $$\sqrt[]{144}$$  

• $$2\pi$$  

• $$4+\pi$$  

Multiple Choice

Which number is a Rational Number?

• $$\sqrt[]{80}$$  

• $$\frac{5}{\pi}$$  

• 7.9432840.......

• $$-6.5$$  

Multiple Choice

Which number is an Irrational Number?

• $$\sqrt[]{81}$$  

• $$7.333333$$  

• $$3\pi$$  

• $$55\ \frac{1}{2}$$  

Multiple Choice

Which number is an irrational number?

• $$-\sqrt[]{95}$$  

• $$\sqrt[]{64}$$  

• 7.8

• 0

Multiple Choice

What type of number is

$$6+\sqrt[]{25}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$8-\sqrt[]{35}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$\pi+\sqrt[]{36}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$\frac{8}{4}+\sqrt[]{4}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$-7.5$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$\frac{\sqrt[]{25}}{20}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$7\cdot\pi$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$6+\sqrt[]{\pi}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$\sqrt[]{22}$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

$$0$$  

• Rational 

• Irrational

Multiple Choice

What type of number is

1,540,953

• Rational 

• Irrational

Multiple Choice

What type of number is

$$-9.333333$$  

• Rational 

• Irrational

Multiple Choice

Categorize the following:  $$7.\overline{5}$$  

• Rational

• Irrational

Multiple Choice

Categorize the following:  $$-2.3$$  

• Rational

• Irrational

Multiple Choice

Categorize the following: $$\sqrt{36}$$  

• Rational

• Irrational

Multiple Choice

Categorize the following: $$\sqrt{15}$$  

• Rational

• Irrational

Multiple Select

Check all the numbers that represent perfect squares

• 12

• 25

• 19

• 36

• 81

Facts about Rational Numbers

• can be a whole number

• can be a fraction

• can be an integer

• can be a ratio

• can be a repeating decimal

• can be a terminating decimal

• can be a perfect square

Multiple Select

Which numbers are rational numbers?

• 7

• $$\sqrt{64}$$

• 0.5

• $$\sqrt{5}$$

• $$\sqrt{50}$$

Facts about Irrational Numbers

• cannot be written as a fraction or ratio

• non terminating decimal

• non repeating decimal

• non perfect squares

Multiple Select

Which numbers are irrational?

• $$\sqrt{100}$$

• $$\pi$$

• $$\sqrt{4}$$

• $$\sqrt{10}$$

• $$\sqrt{9}$$