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 & 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

Read AlsoFormulas for Surds and Indices