Square root of 64
If you are wondering what the square root of 64 is, it is exactly 8. The square root of a number (64 in this case) is a value (8 in this case) that, when multiplied by itself, equals the original number (64). Mathematically, the square root of 64 can be expressed in either radical or exponent form:
-Radical form of the square root of 64: √64
-Exponent form of the square root of 64: 64^(1/2) or 64^(0.5)
The symbol √ is referred to as the radical sign or radix. The number for which we are calculating the square root is known as the radicand, and it is the number that appears under the radical sign (radix).
-Radical form of the square root of 64: √64
-Exponent form of the square root of 64: 64^(1/2) or 64^(0.5)
The symbol √ is referred to as the radical sign or radix. The number for which we are calculating the square root is known as the radicand, and it is the number that appears under the radical sign (radix).
Calculator for Square Root of 64
If you want to calculate the square root of a number, including the value of the square root of 64, you can use a square root calculator.
Calculation Guide of Square root of 64
In the following sections we explain how to calculate the square root of 64. We will address frequently asked questions, such as "Is the square root of 64 a rational or irrational number?" and “is 64 a perfect square?” The square root of 64 will be the major topic of our discussion.
You will find all the information you need on the square root of 64 calculations below.
You will find all the information you need on the square root of 64 calculations below.
What is the square root of 64?
The square root of 64 is a number which multiplied by itself equals 64. Therefore, the square root of 64 is 8, since 8 x 8 = 64.
Therefore,
ANSWER: Square root of 64 = √64 = 8
Therefore,
ANSWER: Square root of 64 = √64 = 8
Is 64 a Perfect Square?
A number is classified as a perfect square if it can be expressed as the result of squaring a whole number (also known as an integer). 0, 1, 2, 3, 4, 7, 8, and 9 are all whole numbers (same as integers). Numbers such as -5, 7.025, or 5 ½ are not whole numbers. It's important to remember that squaring a number means multiplying it by itself. For example, 81 is a perfect square because it is a product of 92 which is the same as 9×9. Notice 9 is a whole number (integer).
In our example the square root of 64 is 8, which is a whole number. Therefore, 64 is a perfect square.
ANSWER: 64 is a perfect square.
In our example the square root of 64 is 8, which is a whole number. Therefore, 64 is a perfect square.
ANSWER: 64 is a perfect square.
Is the square root of 64 rational or irrational number?
A number is considered rational if it can be expressed as a quotient of two whole numbers. An integer, which is also referred to as a whole number, does not have a fractional component. To put it simply, a number is considered rational if it can be expressed as a fraction.
In the case of the square root of 64, the resulting value is 8, which happens to be a whole number. The square root of 64 can be expressed as a whole number, which means that it is a rational number.
ANSWER: The square root of 64 is a rational number.
In the case of the square root of 64, the resulting value is 8, which happens to be a whole number. The square root of 64 can be expressed as a whole number, which means that it is a rational number.
ANSWER: The square root of 64 is a rational number.
Principal square root of 64
Each positive number has two square roots, one of which is positive, and the other is negative. For example, the square roots of 64 are -8 (negative) and +8 (positive) because (-8)^2=(+8)^2=64. The positive square root is denoted as "the principal square root". Typically, when we are calculating "the square root of a number" we mean the principal square root. In our case, it is positive 8 or +8 which is written as √64=8. As you may know, if there is no minus (-) sign before a number it is a positive number.
Therefore, the principal square root of 64 is √64=8.
Therefore, the principal square root of 64 is √64=8.