Square Root – Practice Questions

What is a Square Root?

A square root of a number is what you multiply by itself to get the original number. Let’s take the number 16. If you multiply 4 by itself, you get 16 (4 × 4 = 16). In this case, we say 4 is the square root of 16. The exponent for squares is 2, and for square roots, it’s 1/2. So, the square root of a number n is written as √n or n1/2, where n is a positive number....

Symbol of Square Root

Symbol for Square Root is commonly written as √ and it’s known as a radical symbol. When we use this symbol to express a number ‘x’ as a square root, it looks like √x. Here, ‘x’ is the number. The actual number under the radical symbol, in this case, ‘x’, is called the radicand. The image added below show square root symbol,...

Formula of Square Root

Formula for Square Root of a number x is written as √x or x1/2....

Properties of Square Root

Various Properties of Square Root are,...

How to Find Square Root?

To find the square root of a number, we consider which number, when squared, equals the given number. Finding the square root is straightforward for perfect squares, which are positive numbers expressed as the product of an integer by itself (or the value of an integer raised to the power of 2)....

Square Root of Perfect Squares

The square root of a perfect square is a number that, when multiplied by itself, equals the original perfect square. For example, if a is a perfect square, then its square root is denoted as √ and √a × √a = a....

Table of Square Root

The table of first 50 natural numbers is added in the table below,...

Expressions of Square Root

Square root can be expressed in different form such as, radical form, exponential form, decimal form, rationalizing form and the exact form....

Square Root of Negative Number

When dealing with square roots, it’s important to note that the square root of a negative number doesn’t result in a real number. This is because squaring a number always yields a positive number or zero. However, complex numbers come into play to handle the square root of negative numbers. The principal square root of -x is expressed as √(-x) = i√x, where ‘i’ denotes the square root of -1....

Square Root of Complex Numbers

Complex numbers, which have both a real and an imaginary part, finding the square root involves considering each part separately....

Square Root of Decimal Number

A decimal is the value denoted by a (·), such as 0.9, 0.234, 0.14, etc....

Simplifying Square Root

Simplifying square roots involves expressing them in a simpler form by identifying perfect square factors....

Square of a Number

When we square a number, we’re essentially multiplying the number by itself. If we have a number, ‘N,’ the square of that number is denoted as (N2), and it is found by multiplying ‘N’ by ‘N’....

Differences between Squares and Square Roots

The difference between Square and Square Root is covered in the table added below,...

Examples of Square Root

Some examples of square roots are,...

Square Root – Practice Questions

1. Find the square root of 81....

Square Root-FAQs

1. What is Square Root?...