Simplify Radical Expressions (Part 1)

Multiple Select

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Simplify Radical Expressions (Part 1)

Objective: Simplify radical expressions involving numbers.

 

Multiple Choice

Which radical expression below is equivalent to: $$\sqrt[]{63}$$ ?

• $$3\times\sqrt[]{7}$$

• $$2\times\sqrt[]{15}$$

• $$4\times\sqrt[]{3}$$

​PERFECT SQUARES

​The product of a rational number multiplied by itself. EXAMPLE: 5×5=25

​PERFECT CUBES

​The product of a rational number multiplied by itself three times. EXAMPLE: 6×6×6=216

​FACTORS

​A number that divides another number, leaving no remainder.

​EXAMPLES

​What are the factors of 15?

​What are the factors of 25?

Drag and Drop

If order from LEAST to GREATEST, the factors of 21 are:

​

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,​​

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, ​

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, ​

Placeholder

Drag these tiles and drop them in the correct blank above

1

3

7

21

2

9

42

11

63

6

​Simplifying Radical Expressions

​Simplify:

​1) What are the factors of 48?

​1, 2, 3, 4, 6, 8, 12, 16, 24, 48

​2) What if the largest perfect square of those factors?

​16

​3) Rewrite and simplify.

​EXAMPLE

​Simplify:

​1) What are the factors of 32?

​2) What if the largest perfect square of those factors?

​3) Rewrite and simplify.

Math Response

Simplify: $$\sqrt[]{45}$$

Type answer here

Correct Answer: 3\sqrt{5}

Deg^°

Rad

Math Response

Simplify: $$\sqrt[]{75}$$

Type answer here

Correct Answer: 5\sqrt{3}

Deg^°

Rad

​EXAMPLE

​Simplify:

Math Response

Simplify: $$5\ \sqrt[]{54}$$

Type answer here

Correct Answer: 15\sqrt{6}

Deg^°

Rad

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