1.

Identify the following types of surds : `(a) sqrt(6)+5sqrt(3)" "(b)sqrt(15)+sqrt(8)-sqrt(11) " "(c)sqrt(5)" "(d) 5+sqrt(7)`

Answer» `(a) sqrt(6)+5sqrt(3)` . It is the sum of two surds.
`therefore ` It is the compound surd of two surds, i.e., a binomial surd.
(b) `sqrt(15)+sqrt(8)-sqrt(11)` It is the combination of three surds.
`therefore ` It is a compound surd.
(c) `sqrt(5)`. It is a monomial surd or a simple surd.
`(d) 5+sqrt(7)`. It is the sum of a rational number and a surd.
` therefore ` It si a mixed surd.


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