Surds and Indices – Quantitative Aptitude

Quantitative Aptitude – Surds and Indices

Surds and Indices is another very important topic in Competitive exams. Most of the competitive exams like, Bank, Rail and other government exams likely to have surds and indices questions in their question pattern.

Questions of this topic is not so hard to solve. You just need to learn the basic idea and formulas of Surds and Indices. Just learn it carefully and practice more and more. You will be expert of doing this kind of math problems so easily. So, Now we will discuss the basic ideas and formulas of this chapter below.

What is Surds ?

Definition: A Rooted number (Square or Cube Root), which can’t be simplified further is called Surds.

Examples:

• √2 is a Surd – We can’t simplified √2 further. So, it’s a surd.

• √9 is not a Surd – We can simplified √9 further to 3. So, it’s not a Surd.

Law of Surds:

• Law 1:

• Law 2:

Example:
Simplify

So, 50 = 25 x 2 = 5² x 2, as 25 is the largest perfect square of 50.

• Law 3:

• Law 4:

• Law 5:

• Law 6:

• Law 7:

• Law 8:

 

What is Indices ?

Definition: Indices is a way to expressing a large number into a very simple manner.

Example:

• 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 is a Large expression.

We can simplify this expression as-

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 3¹⁰.

So, here we call 3 the Base and 10 the Index.

Law of Indices:

• Law 1:

• Law 2:

• Law 3:

• Law 4:

• Law 5:

• Law 6:

• Law 7:

• Law 8:

 

So, this is the basic idea of Surds and Indices chapter. Hope you learn this well. Now, if you have any question in your mind then you can ask us here in www.AptitudeTricks.com. Write your question in the comment section down below. Our team member will answer your question.