Square root of 81
If you are wondering what the square root of 81 is, it is exactly 9. The square root of a number (81 in this case) is a value (9 in this case) that, when multiplied by itself, equals the original number (81). Mathematically, the square root of 81 can be expressed in either radical or exponent form:
-Radical form of the square root of 81: √81
-Exponent form of the square root of 81: 81^(1/2) or 81^(0.5)
The mathematical symbol √ is commonly referred to as the radical sign or radix. The value that we are finding the square root of is called the radicand, and it is the number located beneath the radical sign (radix).
-Radical form of the square root of 81: √81
-Exponent form of the square root of 81: 81^(1/2) or 81^(0.5)
The mathematical symbol √ is commonly referred to as the radical sign or radix. The value that we are finding the square root of is called the radicand, and it is the number located beneath the radical sign (radix).
Calculator for Square Root of 81
If you want to calculate the square root of a number, including the value of the square root of 81, you can use a square root calculator.
Square Root Calculator
Calculation Guide of Square root of 81
The focus of our discussion will be the square root of 81. In the upcoming sections, we will guide you on how to calculate it and answer common inquiries such as "Is 81 a perfect square?" and "Is the square root of 81 a rational or irrational number?"
All the necessary information regarding the calculations of the square root of 81 can be found below.
All the necessary information regarding the calculations of the square root of 81 can be found below.
What is the square root of 81?
The square root of 81 is a number which multiplied by itself equals 81. Therefore, the square root of 81 is 9, since 9 x 9 = 81.
Therefore,
ANSWER: Square root of 81 = √81 = 9
Therefore,
ANSWER: Square root of 81 = √81 = 9
Is 81 a Perfect Square?
A number is considered to be a perfect square if it can be written as the square of a whole number, which is also known as an integer. Integers are whole numbers, such as 0, 1, 2, 3, 4, 7, 8, and 9. Numbers like -5, 7.025, or 5 ½ are not integers. It is important to note that squaring a number means multiplying it by itself. For instance, 64 is a perfect square because it is the result of multiplying 8 by itself, which can be expressed as 8^2. In this case, 8 is a whole number (integer).
In our example the square root of 81 is 9, which is a whole number. Therefore, 81 is a perfect square.
ANSWER: 81 is a perfect square.
In our example the square root of 81 is 9, which is a whole number. Therefore, 81 is a perfect square.
ANSWER: 81 is a perfect square.
Can we classify the square root of 81 as a rational or irrational number?
A rational number is a number that can be expressed as a ratio of two integers or whole numbers. An integer, which is also known as a whole number, does not have a fractional component. In other words, a number is considered rational if it can be written in the form of a fraction.
In the case of the square root of 81, the resulting value is 9, which happens to be a whole number. The square root of 81 can be expressed as a whole number, which means that it is a rational number.
ANSWER: The number resulting from the square root of 81 is a rational number.
In the case of the square root of 81, the resulting value is 9, which happens to be a whole number. The square root of 81 can be expressed as a whole number, which means that it is a rational number.
ANSWER: The number resulting from the square root of 81 is a rational number.
Principal square root of 81
There are always two square roots for any positive number: one is positive and the other is negative. For instance, 81 has two square roots, which are -9 (negative) and +9 (positive), since (-9)^2 = (+9)^2 = 81. We refer to the positive square root as the "principal square root." Typically, when we say "the square root of a number," we are referring to the principal square root. In our case, it is the positive 9 or +9, which is expressed as √81=9. It's worth noting that if there is no minus (-) sign before a number, it is a positive number.
Therefore, the principal square root of 81 is √81=9. The square root of 81 is also a perfect square, as it can be expressed as the result of squaring a whole number, which is 9.
Therefore, the principal square root of 81 is √81=9. The square root of 81 is also a perfect square, as it can be expressed as the result of squaring a whole number, which is 9.
