Question

state with reason which of the following are surds or not √180,4√27,5√128

Answer 1

Given : √180,4√27,5√128

To find : which of the given  are surds or not  

Solution:

√180

= √2 * 2 * 3 * 3 * 5

= √2² * 3² * 5

=√6² * 5

= 6√5

Surd

√180  is surd

4√27

= 4 √3 * 3 * 3

=  4 √3² * 3

= 4 * 3 √3²

= 12√3

Surd

4√27  is surd

5√128

= 5√2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 5√2² * 2² * 2² * 2

= 5 * 2 * 2 * 2 √2

= 40√2

Surd

5√128   is surd

Learn more:

Express as pure surd 1/3 3√54​ - Brainly.in

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Conjugate of the surd root 3 - root 5 is - Brainly.in

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