Irrational, Rational, and Roots

​Additional Learning Resources

• https://youtu.be/mFVCWcR7H-4​

Multiple Choice

What do you call a number that can be expressed in the form $$\frac{a}{b}$$  , where a and 𝑏 b are integers, and b is not equal to 0?

• Integers

• Irrational

• natural

• rational

Multiple Choice

Which of the following refers to a number whose decimal representation is neither terminating nor repeating? This number cannot be expressed as a quotient of integers.

• Integers

• Irrational

• natural

• rational

Multiple Choice

What do you call the positive $$n^{th}$$   root of a number?

• perfect square

• principal root

• radical

• radicand

Multiple Choice

What is the principal root of √25?

• 2

• 5

• 10

• 100

Multiple Choice

What is the principal root of √10?

• 3.162277660…

• 5

• 10

• 100

Multiple Choice

Which of the following describes the principal root of √50?

• Integers

• Integers

• Integers

• Integers

Multiple Choice

Which of the numbers is classified as perfect square integer?

• 6

• 9

• 12

• 20

Multiple Choice

Between what two consecutive integers does the square root of 18 lie?

• 3 & 4

• 4 & 5

• 5 & 6

• 16 & 25

Multiple Choice

Find the number whose square root lies between 5 and 6.

• 24

• 25

• 26

• 36

Multiple Choice

Find the square root of 16.

• 4

• 5

• 6

• 8

Multiple Choice

Which of the following has an irrational principal root?

• 4

• 9

• 16

• 20

Multiple Choice

Which of the following square roots lies between 2 and 3.

• √2

• √3

• √5

• √10

Multiple Choice

Which of the following is not a perfect square integer?

• 25

• 49

• 63

• 81

Multiple Choice

Between what two consecutive integers does the square root of 33 lie?

• 4 & 5

• 5 & 6

• 6 & 7

• 7 & 8

Multiple Choice

Find the principal root of √121 .

• 10

• 11

• 12

• 13

​NOTE

• You may use the scientific calculator in your android phone to easily check the principal root of a number.

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Multiple Choice

Determine between what two consecutive integers each principal root lie:

√77

• 8 and 9

• 7and 8

• 9 and 10

• 6 and 7

Multiple Choice

Determine between what two consecutive integers each principal root lie:

√87

• 8 and 9

• 7and 8

• 9 and 10

• 6 and 7

Multiple Choice

Determine between what two consecutive integers each principal root lie:

√50

• 8 and 9

• 7and 8

• 9 and 10

• 6 and 7

Multiple Choice

Determine between what two consecutive integers each principal root lie:

√136

• 8 and 9

• 7and 8

• 11 and 12

• 6 and 7

Multiple Choice

Determine between what two consecutive integers each principal root lie:

√243

• 8 and 9

• 15 and 16

• 11 and 12

• 6 and 7

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Multiple Choice

What do you call a number that can be expressed in the form  $$\frac{a}{b}$$  , where a and 𝑏 b are integers, and b is not equal to 0?

• Integers

• Irrational

• natural

• rational

Multiple Choice

What do you call the positive n^th root of a number?

• perfect square

• principal root

• radical

• radicand

Multiple Choice

Which of the following refers to a number whose decimal representation is neither terminating nor repeating? This number cannot be expressed as a quotient of integers.

• Integers

• Irrational

• natural

• rational

Multiple Select

What is the principal root of √81?

• -9

• 8

• 9

• 81

Multiple Choice

What is the principal root of $$\frac{\sqrt[]{9}}{\sqrt[]{4}}$$  ?

• $$\frac{3}{2}$$  

• $$\frac{3}{4}$$  

• $$\frac{9}{2}$$  

• $$\frac{9}{4}$$  

Multiple Choice

Which of the following best describes the principal root of √50?

• integer

• irrational

• natural

• rational

Multiple Choice

Which of the following best describes the principal root of √121?

• integer

• irrational

• natural

• rational

Multiple Choice

Which of the statements is TRUE?

• √7 is an integer

• √16 is an irrational numberal

• √25 is a rational number

• √90 is neither rational nor irrational number

Multiple Choice

Find the number whose square root lies between 8 and 9?

• 8

• 9

• 75

• 85

Multiple Choice

Between what two consecutive integers does the square root of 118 lie?

• 8 & 9

• 9 & 10

• 10 & 11

• 11 & 12