Show:
Simplifying Radicals
Adding and Subtracting Radicals
Multiplying Radicals
Rationalizing the Denominator
1

Simplify the following radical: 

√ 54.

3√ 6

1

Add the following radicals: 6√3 - 8√3 + 2√3.

0

1

Multiply the following radicals:

(3√4) (3√24)

36√6

1

Rationalize the denominator:

√4 / √36. 

1 / 3

2

Simplify the following radical: 

√ 18.

3√ 2

2

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

13√3

2

Multiply the following radicals: 

√5 x √8. 

2√10

2

Rationalize the denominator: 

√18 / √3.

√6

3

Simplify the following radical: 

2√ 24.

4√ 6

3

Subtract the following radicals: 

6√5 - √125.

√5

3

Multiply the following radicals: 

(√10)(3√20)

150√2

3

Rationalize the denominator:

√20 / √5

2

4

Simplify the following radical: 

\root(2)(27) 

3sqrt(3)

4

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

15√2

4

Multiply the following radicals: 

(-3√28)(√3)

-6√21

4

Rationalize the denominator:  

√45/√5.

3

5

Simplify the following radical: 

root(2)(108)

6root(2)(3)


5

Add/Subtract the following radicals: 

7√18 + 2√25 - 3√72.

10 + 3√2

5

Multiply the following radicals: 

4√6(2√27-√18)

72√2-24√3

5

Rationalize the denominator: 

√56 /√7.

2√2