# EXPRESS MIXED SURD INTO PURE SURDS WORKSHEET

## About "Express mixed surd into pure surds worksheet"

Express mixed surd into pure surds worksheet :

Here we are going to see some practice questions of converting mixed surd into pure surds.

(1)  Express the following mixed surd into pure surd

16√2

(2)  Express the following mixed surd into pure surd

33√2

(3)  Express the following mixed surd into pure surd

4√5

(4)  Express the following mixed surd into pure surd

√3

(5)  Express the following mixed surd into pure surd

√5

## Express mixed surd into pure surds worksheet - Solution

Question 1 :

Express the following mixed surd into pure surd

16√2

Solution :

Here we have the number 16 in front of √2. The order the radical term is 2.

To express 16√2 as pure surd, we have to take square for 16 and write it under radical sign.

16√2  =  √(162 ⋅ 2)

=   √(256 ⋅ 2)

=   √512

Question 2 :

Express the following mixed surd into pure surd

33√2

Solution :

Here we have the number 3 in front of √2. The order the radical term is 3.

To express 33√2 as pure surd, we have to take cube for 3 and write it under radical sign.

33√2  =  3√(33 ⋅ 2)

=   3√(3 ⋅ 3 ⋅ 3  2)

=   3√54

Question 3 :

Express the following mixed surd into pure surd

4√5

Solution :

Here we have the number 2 in front of 4√5. The order the radical term is 4.

To express 24√5 as pure surd, we have to take power 4 for 2 and write it under radical sign.

24√5  =  √(24 ⋅ 5)

=  √(16 ⋅ 5)

=  √80

Question 4 :

Express the following mixed surd into pure surd

√3

Solution :

Here we have the number 6 in front of √3. The order the radical term is 2.

To express 6 √3 as pure surd, we have to take square for 6 and write it under radical sign.

√3  =  √(62 ⋅ 3)

=  √(36 ⋅ 3)

=  √108

Question 5 :

Express the following mixed surd into pure surd

√5

Solution :

Here we have the number 6 in front of √5. The order the radical term is 2.

To express 6 √5 as pure surd, we have to take square for 6 and write it under radical sign.

√5  =  √(62 ⋅ 5)

=  √(36 ⋅ 5)

=  √180

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