Square Root of 64

What is square root of 64? Let’s explore the exact steps how to find square root of a number based on the below example

Identify as a Perfect Square

First, recognize that 64 is a perfect square. It can be expressed as 8 × 8.

Determine the Square Root

Since 8 × 8 = 64, the square root of 64 is 8. The square root of a number is defined as the value that, when multiplied by itself, gives the original number.

Representing the Square Root of 64 Mathematically As a Simple Number

The square root of 64 is exactly 8, so it is written as √64 = 8.

Using the Radical Symbol

Although not necessary for perfect squares, the square root of 64 can also be represented using the radical symbol: √64. However, since its square root is exactly determined, it’s typically simplified to its integer form, which is 8.

No Need for Approximation

For rational square roots like that of 64, there’s no need for decimal approximations or the use of the approximation symbol (≈) because the square root of 64 is exactly 8.

Summary

In summary, for perfect squares such as 64, finding the square root is straightforward and expressed as a simple integer. Thus, √64 = 8.

Explore variety of examples below:

General rules: How to Find Square Root of a Number

Practical examples:

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