On this page you will get to know about, how to solve surds and indices quickly and easy using the formulas and rules.
Surds and IndicesThe natural number which cannot be expressed in the form of fraction known as Surds. For example: \sqrt{2}=2^{\frac{1}{2}} and the Indices refers to the power to which a number is raised.
How to Solve Surds and Indices Ques. Quickly :
Surds: Number which cannot be expressed in the fraction form of two integers is called as surd. For example: \sqrt{2}
Indices: Indices refers to the power to which a number is raised. For example; 2²
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Sample Solutions Regarding the Rules of Surds and Indices :
Indices Multiplication rules:-
Multiplication rule with same base a n ⋅ a m = a(m+n) Example:
23 ⋅ 24 = 2(3+4) = 27 = 2⋅2⋅2⋅2⋅2⋅2⋅2 = 128
Surds Multiplication rules:-
Multiplication rule with same indices an ⋅ bn = (a ⋅ b)n Example: 32 ⋅ 22 = (3⋅2)2 = 36
Indices Division rules:-
Division rule with same indices an / bn = (a / b)n Example: 93 / 33 = (9/3)3 = 27
Surds Division rules:-
Division rule with same base am / an = a(m-n) Example: 35 / 33 = 3(5-3) = 9
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