Radicals Dude.

Simplifying Radicals

1

Simplify the following radical: √ 54.

3√ 6

2

Simplify the following radical: √ 18.

3√ 2

3

Simplify the following radical: 2√ 24.

4√ 6

4

Simplify the following radical: 3√ 63.

9√ 7

5

Simplify the following radical: 4∛ 27x³.

12x

Adding and Subtracting Radicals

1

In order to add radicals, which of the following must be true?

(a) The radicals must have the same index

(b) The radicals must have the same radicand

(c) The radicals must have the same number outside the radical sign

(d) Both a and b

(d) Both a and b

2

Add the following radicals: 4√3 + 2√3 + 7√3.

13√3

3

Subtract the following radicals: 6√5 - √125.

√5

4

Add the following radicals: √8 + √98 + √72.

15√2

5

Add/Subtract the following radicals: 7√18 + 2√25 - 3√72.

10 + 3√2

Multiplying Radicals

1

Generally speaking, in order to multiply radicals, which of the following must be true?

(a) The radicals must have the same index

(b) The radicals must have the same radicand

(c) The radicals must have the same number outside the radical sign

(d) Both a and b

(a) The radicals must have the same index

2

Multiply the following radicals: √5 x √8. Simplify if necessary.

2√10

3

Multiply the following radicals: √42x times  √2x. 

2x√21

4

Multiply the following radicals using F.O.I.L.: (2 - √13)². Simplify if necessary.

17 - 4√13

5

Multiply the following radicals using F.O.I.L.: (2√3 - 4)². Simplify if necessary.

28 - 16√3

Rationalizing the Denominator

1

Remove the radical from the denominator from the following expression: √4 / √36. Reduce your answer if necessary.

1 / 3

2

Remove the radical from the denominator from the following expression: √7 / √3.

√21 / 3

3

Remove the radical from the denominator from the following expression: √x / √y⁶.

√x / y³

4

Remove the radical from the denominator from the following expression: 7 / 1 + √6.

-7 + 7√6 / 5

5

Remove the radical from the denominator from the following expression: √5 / 1 - √7.

√5 + √35 / -6

RANDOM (only after everything is done)

1

What is the mathematician Narmi Deejam known for?

Being your math teacher

2

Who wrote the Outsiders?

S.E. Hinton

3

What city were our Graphing Calculators manufactured in?

Dallas

4

What comes after condensation in the water cycle?

Precipitation

5

What year was Mr. MAJEED born?

1992