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Surds and Indices Tips Tricks and Shortcuts
Go through this page to know easy Tips Tricks Shortcuts for Surds and Indices.
- Surds: Numbers which can be expressed in the form \sqrt{p} + \sqrt{q} , where p and q are natural numbers and not perfect squares.
- Indices: Indices refers to the power to which a number is raised. For example: 32


Tips Tricks & Shortcuts for Surds and Indices
- Surds: Numbers which can be expressed in the form \sqrt{p} + \sqrt{q} , where p and q are natural numbers and not perfect squares.
- Indices: Indices refers to the power to which a number is raised. For example; 32
- Here, are quick and easy tips and tricks for you to solve Surds and Indices Formulas with Power questions quickly, easily, and efficiently in competitive exams and other recruitment exams .
- Memorize all square and cube value from numbers 1 – 20 to solve the questions fast.
Type 1: Surds and Indices -Simplify the expression
Question 1. Find the value (1728)( – \frac{2}{3})
Options.
A. \frac{1}{144}
B. 144
C. – \frac{1}{144}
D. \frac{1}{12}
Solution: Cube root of 1728 is 12.
Therefore,(12)–3( \frac{1}{3})
(12) – 3 × ( \frac{2}{3}) = 12–2
We know that, a-n = \frac{1}{a^n}
Therefore, 12–2 = (\frac{1}{12})^2 = \frac{1}{144}
Correct option: A
Type 2 : Surds and Indices- Find the value of x
Question 1. Find the value of x If ( \frac{p}{q})x-1 = ( \frac{q}{p})x-3
Options.
A. 3
B. 2
C. 1
D. -2
Solution: ( \frac{p}{q})x-1 = ( \frac{q}{p})x-3
( \frac{p}{q})x-1 = ( \frac{p}{q})-(x-3)
( \frac{p}{q})x-1 = ( \frac{p}{q})3-x
x-1 = 3-x
x = 2
Correct option: B
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