7.4 Approximating Square Roots

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The square root of any ​

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number that is not a perfect square is​

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. The ​

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root of any whole number that is ​

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a ​

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cube is irrational.

Drag these tiles and drop them in the correct blank above

whole

irrational

cube

not

perfect

always

rational

Categorize

Options (11)

A number that can written as the ratio of two integers

A number that CANNOT be written as a ratio of two integers

$$\frac{3}{4}$$  

$$-100$$  

$$12.4$$  

$$\sqrt[3]{14}$$  

$$\sqrt[]{78}$$  

$$-\sqrt[3]{12}$$  

$$\sqrt[3]{64}$$  

$$\sqrt[]{100}$$  

Match the definitions and examples to the correct vocabulary word.

Rational Number

Irrational Number

Math Response

Estimate √5 to the nearest integer.

Type answer here

Correct Answer: 2

Deg^°

Rad

Math Response

Estimate √5 to the nearest tenth.

Type answer here

Correct Answer: 2.

Deg^°

Rad

Math Response

Estimate -√105 to the nearest integer.

Type answer here

Correct Answer: -10

Deg^°

Rad

Math Response

Estimate -√105 to the nearest tenth.

Type answer here

Correct Answer: -10.2

Deg^°

Rad

Math Response

Estimate √50 to the nearest integer.

Type answer here

Correct Answer: 7

Deg^°

Rad

Multiple Choice

Which number is greater?

√50, 8

• √50

• 8

Math Response

Estimate -√90 to the nearest integer.

Type answer here

Correct Answer: -9

Deg^°

Rad

Multiple Choice

Which number is greater?

-√90, -11

• -√90

• -11