Square root of 64

Understanding the Square Root of 64

The square root of a number is a value that, when multiplied by itself, gives the original number. For the number 64, its square root is 8, since 8 multiplied by 8 equals 64. In mathematical terms, √64 = 8. This simple calculation tells us that 8 is the square root of 64, a fundamental concept often encountered in mathematics.

How to Calculate the Square Root of 64

Calculating the square root of a number involves finding a value that, when squared, equals the original number. Let’s break down the process for finding the square root of 64.

First, consider the number 64. We need to find a number that, when multiplied by itself (squared), results in 64. Start with smaller numbers and gradually increase:

• 1² = 1
• 2² = 4
• 3² = 9
• 4² = 16
• 5² = 25
• 6² = 36
• 7² = 49
• 8² = 64

As we can see, 8² = 64, which means 8 is the square root of 64. This method of systematic multiplication helps verify that 8 is indeed the correct square root.

Rational or Irrational?

A rational number is one that can be expressed as a fraction of two integers, where the denominator is not zero. The square root of 64 is 8, which can be written as 8/1. Therefore, the square root of 64 is a rational number.

Frequently Asked Questions

The square root of 64 is 8.

Yes, the square root of 64 is a rational number because it can be expressed as the fraction 8/1.

You can verify the square root of 64 by squaring the root itself. Simply multiply 8 by 8, and if the result is 64, then 8 is indeed the square root of 64.