pls explain surd and it's type
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Different Types of Surds
Simple Surd: When there is only a number present in the root symbol, then it is known as a simple surd. For example √2 or √5. ... Mixed Surds: When numbers can be expressed as a product of rational and irrational numbers, it is known as a mixed surd.
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A surd is an expression that includes a square root, cube root, or other root symbol. Surds are used to write irrational numbers precisely – because the decimals of irrational numbers do not terminate or recur, they cannot be written exactly in decimal form.
The different types of surds are as follows:
- Simple Surds – A surd that has only one term is called simple surd. Example: √2, √5, …
- Pure Surds – Surds which are completely irrational. Example: √3
- Similar Surds – The surds having the same common surds factor
- Mixed Surds – Surds that are not completely irrational and can be expressed as a product of a rational number and an irrational number
- Compound Surds – An expression which is the addition or subtraction of two or more surds
- Binomial Surds – A surd that is made of two other surds
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