We will discuss about the simple and compound surds.
Definition of Simple Surd:
A surd having a single term only is called a monomial or simple surd.
For example, each of the surds √2, ∛7, ∜6, 7√3, 2√a, 5∛3, m∛n, 5 ∙ 7^\(^{3/5}\) etc. is a simple surd.
Definition of Compound Surd:
The algebraic sum of two or more simple surds or the algebraic sum of a rational number and simple surds is called a compound scud.
For example, each of the surds (√5 + √7), (√5  √7), (5√8  ∛7), (∜6 + 9), (∛7 + ∜6), (x∛y  b) is a compound surd.
Note: The compound surd is also known as binomial surd. That is, the algebraic sum of two surds or a surd and a rational number is called a binomial surd.
For example, each of the surds (√5 + 2), (5  ∜6), (√2 + ∛7) etc. is a binomial surd.
Jan 16, 18 05:09 PM
We will learn how to prove the property of the inverse trigonometric function arctan(x) + arctan(y) + arctan(z) = arctan\(\frac{x + y + z – xyz}{1 – xy – yz – zx}\) (i.e., tan\(^{1}\) x
Jan 16, 18 05:06 PM
We will learn how to prove the property of the inverse trigonometric function arctan(x) + arccot(x) = \(\frac{π}{2}\) (i.e., tan\(^{1}\) x + cot\(^{1}\) x = \(\frac{π}{2}\)).
Jan 16, 18 05:04 PM
We will learn how to prove the property of the inverse trigonometric function arctan(x)  arctan(y) = arctan(\(\frac{x  y}{1 + xy}\)) (i.e., tan\(^{1}\) x  tan\(^{1}\) y
Jan 16, 18 04:15 PM
We will learn how to prove the property of the inverse trigonometric function arctan(x) + arctan(y) = arctan(\(\frac{x + y}{1  xy}\)), (i.e., tan\(^{1}\) x + tan\(^{1}\) y = tan\(^{1}\)
11 and 12 Grade Math
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