Tips And Tricks And Shortcuts For Surds And Indices

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 and Tricks and Shortcuts For Surds and Indices

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

Prime Course Trailer

Related Banners

Get over 200+ course One Subscription

Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others

Checkout list of all the video courses in PrepInsta Prime Subscription

Checkout list of all the video courses in PrepInsta Prime Subscription

One comment on “Tips And Tricks And Shortcuts For Surds And Indices”