Rational/Irrational Square Roots/Classifying Numbers

Rational numbers and irrational numbers together form the set of real numbers.

Real Numbers

Rational numbers that are decimals
either repeat or end.

●The square root of
any whole number
that is not a perfect
square is irrational.

●An irrational number
does NOT repeat OR
end.

●An irrational number
does not have a
pattern.

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Multiple Select

Classify the number. Select ALL that apply:

15

• rational

• irrational

• integer

• natural

• whole

Multiple Select

Classify the number. Select ALL that apply:

-6

• rational

• irrational

• integer

• natural

• whole

Multiple Select

Classify the number. Select ALL that apply:

2/3

• rational

• irrational

• integer

• natural

• whole

Multiple Select

Classify the number. Select ALL that apply:

$$\sqrt[]{16}$$

• rational

• irrational

• integer

• natural

• whole

Multiple Select

Classify the number. Select ALL that apply:

$$\sqrt[]{17}$$

• rational

• irrational

• integer

• natural

• whole

• The square root of any whole number that is not a perfect square is irrational.

Example: √23 = 4.795831523. . . .

It never ends and never repeats.

• An IRRATIONAL number does NOT REPEAT and does NOT END.

• An irrational number does not have a pattern.

• π is an irrational number.

Multiple Choice

$$\sqrt[]{2}$$

• rational

• irrational

Multiple Choice

$$\sqrt[]{64}$$

• rational

• irrational

Multiple Choice

$$\sqrt[]{72}$$

• rational

• irrational

Multiple Choice

$$\sqrt[]{121}$$

• rational

• irrational

Multiple Choice

$$\pi$$

• rational

• irrational