Tips And Tricks And Shortcuts For Surds And Indices
Tips And Tricks & Shortcuts for Surds and Idices
Surds: Numbers which can be expressed in the form √p + √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.
- Read Also –Formulas for Surds and Indices
Type 1: Surds and Indices Tips and Tricks -Simplify the expression
Cube root of 1728 is 12.
Now, (an)m = an*m
(12) – 3 × (2/3) = 12–2
We know that, a-n = 1/an
Therefore, 12–2 = 1/12² = 1/144
Correct option: A
Type 2: Shortcuts,Tips of Surds and Indices- Find the value of x
If (p/q)x-1 = (q/p)x-3
(p/q)x-1 = (q/p)x-3
(p/q)x-1 = (p/q)-(x-3)
(p/q)x-1 = (p/q)3-x
x-1 = 3-x
x = 2