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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.
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.
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.
32, 52, 62 are similar surds.

Directions: Choose the correct answer.
Q 1: 7, name the surd.
Simple surd
Compound surd
Mixed surd

Q 2: 56, name the surd.
Mixed surd
Simple surd
Compound surd

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!

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