Roots of Numbers

Roots of Numbers

Objective: Find the roots of positive and negative numbers.

 

Math Response

Do you have your NOTEBOOK OUT?

If you do, find: $$\sqrt[]{49}$$ .

Type answer here

Correct Answer: 7

Deg^°

Rad

​The Root of a Number

​The root of a number x is another number which when multiplied by itself a given number of times equals x.

​EXAMPLE

​5³ = 125

​means

​5 × 5 × 5 = 125

​so ... 5 is the cubed root of 125

​or ...

​EXAMPLES

because

because

because

Drag and Drop

$$\sqrt[3]{64}$$ = ​

Placeholder

$$\sqrt[]{64}$$ = ​

Placeholder

$$\sqrt[3]{216}$$ = ​

Placeholder

Drag these tiles and drop them in the correct blank above

4

8

6

7

3

5

9

32

72

21

​EXAMPLES

because

is not a real number because

**if the root is even and the radicand is negative, there is no real number answer**

Drag and Drop

$$\sqrt[3]{-27}$$ = ​ ​

Placeholder

$$\sqrt[]{-64}$$ = ​ ​

Placeholder

$$\sqrt[3]{-64}$$ = ​

Placeholder

Drag these tiles and drop them in the correct blank above

-3

not a real number

-4

4

3

-9

9

32

-72

-32

​EXAMPLES

because

because

Math Response

Find: $$\sqrt[4]{\frac{16}{625}}$$

Type answer here

Correct Answer: \frac{2}{5}

Deg^°

Rad

Fill in the Blanks

Take a picture of the notes you took for this lesson.