Indices, Surds & Logarithms
Indices and Surds, Logarithms Questions – Indices and Surds, Logarithms Quiz Details
| Online Test Name | Indices and Surds, Logarithms |
| Exam Type | Chapters & Multiple Choice Questions |
| Category | Aptitude Quiz |
| Number of Questions | 30 |
Important Formulas – Surds and Indices
Laws of Indices
an=a.a.a⋯(n times)
am.an…ap=am+n+…+p
am.an=am+n
aman=am−n
(am)n=amn=(an)m
(ab)n=anbn
(ab)n=anbn
a−n=1an
an=1a−n
a0=1 where a∈R,a≠0
ap/q=apq
if am=an where a≠0 and a≠±1, then m=n
if an=bn where n≠0, then a=±b
Surds
Let a be a rational number and n be a positive integer such that an is irrational. Then an is called a surd of order n.
Examples:
- 3 is a surd of order 2
- 73 is a surd of order 3
- 43 is a surd of order 2
Please note that numbers like 9, 273 etc are not surds because they are not irrational numbers.
Every surd is an irrational number. But every irrational number is not a surd. (eg : π , e etc are not surds though they are irrational numbers.)
Quadratic Surds
A surd of order 2 is called a quadratic surd
Examples
2,3,(3+5), etc.
Rules of Surds
mn=mn
a.a.a⋯n times=a1−12n
a.a.a⋯∞=a
if a+a+a⋯∞=p, then p(p−1)=a
The conjugate surd of a+b=±(a−b)
if b and d are quadratic surds and if a+b=c+d,
then a=c and b=d
That is, rational part on left side = rational part on right side.
and irrational part on left side = irrational part on right side.
if b and d are quadratic surds and if a+b=d,
then a=0 and
Indices and Surds, Logarithms Aptitude Questions
Practice the Indices and Surds, Logarithms Aptitude Multiple Choice Questions and Answers from this post. Candidates, who want to sharpen their knowledge in Indices and Surds, Logarithms MCQ can check out this article. Many candidates are unable to crack the interview process due to the lack of technical expertise. To avoid such type of complications, we are furnishing the Indices and Surds, Logarithms Aptitude Questions along with answers in the below sections. By practicing the Indices and Surds, Logarithms Online Test aspirants can learn minimum knowledge about the subject.
Indices and Surds, Logarithms MCQ Quiz Answers with Solutions
Aspirants can check the Indices and Surds, Logarithms Answers from this article. After completion of the Indices and Surds, Logarithms Quiz, you can check your answer by visiting the View Answer tab. For testing your Indices and Surds, Logarithms result, people no need to submit their answers. And also important note for contenders is who want to do rough work those contenders can click on the Workspace tab. Many of the postulates don’t know how to check the Indices and Surds, Logarithms Answers. For those intenders, we have equipped the every data which are useful for them.
![Pinterest](https://pinterest.com/pin/create/button/?url=https://studymaterialz.in/pdf-indices-surds-logarithms-aptitude-questions-and-answers-download/&media=https://studymaterialz.in/wp-content/uploads/2021/04/Indices-Surds-Logarithms.jpg&description=This is the aptitude questions and answers section on "Surds Indices Logarithms" with explanation for various interview, competitive examination and entrance test.){kind=link}