Square Root

A Square Root of a number x is a number r such that r2 = x, or, in other words, a number r whose square (the result of multiplying the number by itself) is x.
Square root is the number where the value of a number which is multiplied by itself to get the original number

The Symbol to denote Square root is

--> √.
For example the Square root of 144 is
-->√144
12 squared is 144 that is 12 * 12 = 144

So the Square root of 144 √144 is 12.

Let us solve some more examples on Square roots to get the better understanding of the concept.

Problem 1)

What is the result of square root of 20 divided by square root of 40?

Solution:

Square root of 20 is
-->√20
Square root of 40 is
-->√40
So the Division is, √20/√40 =
-->√10/20
Simplify the square root values

=
-->√1/2
--> = √0.5
-->= 0.707
Hence, the result of square root of 20 divided by square root of 40 is 0.707

Scientific Notation

Scientific notation is defined as shorter method to state simplest form of very large numbers. This method is called scientific notation. Scientific Notation is powers of the base number 10 has expressed in the scientific notation.

Scientific notation, also known as standard form or as exponential notation, is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.

In Scientific Notation all the numbers are written as:

a × 10^b

("a times ten to the power of b"), where the exponent b is an integer, and the coefficient a is any real number.

--> -->

Basic Scientific Notations:

1 * 10¹ = 1

1 * 10² = 10

1 * 10³ = 100

1* 10⁴ = 10000

1 * 10⁵ = 100000

Let us try to understand this with the help of the below example on scientific Notations.

Scientific Notation Example 1)

solve 5.59 *
-->10⁵
Solution:

Given that 5.59 *
-->10⁵
Significant value = 5.59

Exponent = 5

You can change the Decimal point to the right side and add the three zeros

The solution is 559000.