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High School Mathematics
2.54 Types of Radicals

Simple surd:
A surd which consists of a single term is called a simple or monomial surd.
Example:
3, 5, 6.

Mixed surd:
If 'a' is a rational number and b is a surd then a+b and a-b are called mixed surds.

Compound Surd:
A surd which is the sum or difference of two or more surds called a compound surd.
Example:
6 + 5, 3 - 53.

Binomial Surd:
A compound surd consisting of two surds is called a binomial surd.
Example: 6 + 5, 7 - 55

Similar Surd:
If two surds are different multiples of the same surd, they are called similar surds, otherwise they are dissimilar surds.
Example:
32, 52, 62 are similar surds.


Directions: Choose the correct answer.
Q 1: 7 + 3, name the surd.
Mixed surd
Similar surd
Simple surd

Q 2: 3 - 2 5, name the surd.
Compound surd
Similar surd
Simple surd

Q 3: 6 - 8, name the surd.
Mixed surd
Similar surd
Simple surd

Q 4: 3 2, 5 2, 4 2, name the surds.
Similar surds
Binomial surds
Mixed surds

Q 5: 7, name the surd.
Compound surd
Simple surd
Mixed surd

Q 6: 56, name the surd.
Simple surd
Mixed surd
Compound surd

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Question 8: This question is available to subscribers only!


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