Square Roots 01 Basics

Table of Contents

• Square Roots
  • Representing Square Root
  • Square Root of Exponential Form
• Summary
• What’s Next?

In the previous segment, we learnt about Pythagorean triplets. In this segment, we will learn about Square roots.

What is Square root?

The square root is the inverse operation of the square.

For example,

The square of 4 is 16. Thus, the square root of 16 is 4.

How to represent a square root?

The square root is represented by the symbol, √ , also known as the radical.

The number inside this symbol is called the Radicand or Base.

For example,

The square root of 16, is written as √16.

How to find the square root of a number in exponential form?

To find the square root of a number in exponential form, keep the base the same and halve the exponent.

For example,

To find √2⁴, we keep the base the same, which is 2, and halve the exponent. So, half of 4, which is 2.

So, √2⁴ = 2² = 4.

Let us verify this.

2⁴ = 16

∴ √2⁴ = √16

∴ √2⁴ = 4