Tips And Tricks And Shortcuts For Surds And Indices

Tips and Tricks and 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 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 \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 Tips and Tricks -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: Shortcuts,Tips of 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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