# Surds and Indices Notes & Questions

Contents

## Surds and Indices Notes & Questions

In this section, we will study about the “Surds and Indices ” in the aptitude section of the IBPS bank exam and others. This is important for the IBPS PO.These questions have some tricks and tips for solving them. Applicant must check that how to solve questions and with an explanation. Candidate must have downloaded these notes in PDF format.

### What is surds and indices

Surds are square roots and cannot simplified.

Indices can be simplified.

Also Read:  Profit and Loss Notes Tricks Shortcuts

### Rules for surds

1. $\sqrt [ n ]{ a }$ =${ a }^{ 1/n }$
2. $\sqrt [ n ]{ ab }$ =$\sqrt [ n ]{ a }$ *$\sqrt [ n ]{ b }$
3. $\sqrt [ n ]{ \frac { a }{ b }}$ =$\sqrt [ n ]{ a }$ /$\sqrt [ n ]{ b }$
4. $(\sqrt [ n ]{ a } )^{ n}$ =a
5. $\sqrt [ m ]{ \sqrt [ n ]{ a }}$=$\sqrt [ mn ]{ a }$
6. $(\sqrt [ n ]{ a } )^{ m }$=$\sqrt [ n ]{ a } ^{ m }$

### Rules for indices

1. ${ a }^{ m }*{ a }^{ n }$=${ a }^{ m+n }$
2. ${ a }^{ m }/{ a }^{ n }$=${ a }^{ m-n }$
3. $({ a }^{ m })^n$=${ a }^{ mn }$
4. ${ ab }^{ n }$=${ a }^{ n }{ b }^{ n }$
5. $(\frac { a }{ b } )^{ n }$=${ a }^{ n }/{ b }^{ n }$
6. ${ a }^{ 0 }$=1

### How to solve Surds and Indices Questions

1) understand the concept .

2) Solve more sums.

3) Apply the formulas on the questions.

4) Repeated Practice.

### Note for surds

Let a be rational number and n be a positive integer such that a(1/n) = a. Then, a is called a surd of order n.

Following are the Surds & Indices questions and Surds & Indices shortcut tricks that will help you to pass and get a good IBPS clerk exam result and IBPS PO result as well.