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Square Root of 79

The square root of 79 is expressed as √79 in the radical form and as (79)^½ or (79)^0.5 in the exponent form. The square root of 79 rounded up to 10 decimal places is 8.8881944173. It is the positive solution of the equation x² = 79.

Square Root of 79: 8.888194417315589
Square Root of 79 in exponential form: (79)^½ or (79)^0.5
Square Root of 79 in radical form: √79

1.	What Is the Square Root of 79?
2.	Is Square Root of 79 Rational or Irrational?
3.	How to Find the Square Root of 79?
4.	FAQs on Square Root of 79

What Is the Square Root of 79?

Square root of a number is the value of power 1/2 of that number. In other words, it is the number that we multiply by itself to get the original number. It is represented using the symbol '√ '. The square root of a number n is written as √n. The square root of 79 can be represented in the following ways:

Radical form: √79
Decimal form: 8.88819
Exponent form: (79)^½

Is Square Root of 79 Rational or Irrational?

79 is not a perfect square, which means that it does not have a natural number as its square root.
Square root of 79 in the decimal form is √79 = 8.88819.
Square root of 79 cannot be expressed as a fraction of the form p/q. This indicates that the square root of 79 is an irrational number.

How to Find the Square Root of 79?

Simplified Radical Form of Square Root of 79

79 can be expressed as a product of 79 and 1. It is written as 79 = 1 × 79. Thus, factors of 79 are 1 and 79. None of these factors are perfect squares. Therefore, the square root of √79 is simplified as √79.

Long Division Method

The square root of 79 by long division method consists of the following steps:

Step 1: Starting from the right, we will pair up the digits 79 by placing a bar above 79. We will also pair the 0s in the decimal from left to right.
Step 2: Find a number that, when multiplied to itself, gives a product less than or equal to 79. The number 8 fits here as 8 square gives 64. Dividing 79 by 8 with quotient as 8, we get the remainder as 15.
Step 3: Drag a pair of 0’s down and place them next to 15 to make the dividend 1500.
Step 4: Double the divisor 8, and enter 16 below with a blank digit on its right. Think of a number which is greater than or equal to the dividend, i.e., 1500. 168 is the perfect number to divide 1500.
Step 5: Multiply 168 by 8 (168 × 8 = 1344 < 1500) and write the remainder, i.e. 156.
Step 6: Repeat this process until you get the desired number.

Square root of 77

Therefore, the square root of 79 = 8.888.

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Important Notes:

The square root of 79 can be written as √79.
a × a = 79. It can also be written as: a² = 79.
a = √79. a is the 2^nd root of 79 and a = 8.888.
The square root of any number has two values; one is positive and the other is negative. So, √79 = +8.88 or - 8.88.
In the exponential form, we denote √79 as (79) ^½.
We know that 79 = 1 × 79. In the simplest radical form √79 is written as √79.

Example 1: Jack is multiplying a number by itself. If the product is 79, help Jack find the number.

Solution:

To find the number, let us assume the number to be z
On multiplying z times z = z × z = 79
z² = 79
z = √79
z = 8.888
(8.888 × 8.888 = 78.9965 ≅ 79)
The number is 8.888.
Example 2: The area of a square-shaped table is 6241 square units. Calculate the length of one side of the table.

Solution:

The area of the table = 6241 sq. units
To find the side of a square-shaped table, let us take square root of 6241 by prime factorization method.
√6241 = √(79 × 79)
Square root of 6241 is 79.
Therefore, the length of the side of the square table is 79 units.
Example 3: Help Joy to check whether the square of 79 is 6241 using long division method..

Solution:

To check whether the square of 79 is 6241 we will find out the square root of 6241 and observe the obtained quotient:

Step 1: Starting from the right, we will pair up the digits 62 41 as shown in image.

Step 2: Find a number that, when multiplied to itself, gives a product less than or equal to 62. The number 7 fits here as 7 square gives 49. Dividing 62 by 7 with quotient as 7, we get the remainder as 13.

Step 3: Drag a pair of 41 down and place them next to 13 to make the dividend 1341.

Step 4: Double the divisor 7, and enter 14 below with a blank digit on its right. Think of a number which is greater than or equal to the dividend, i.e., 1341. 149 is the perfect number to divide 1341.

Step 5: Multiply 149 by 9 (149 × 9 = 1341 = 1341) and write the remainder, i.e. 0.

Hence, Square root of 6241 is 79 or square of 79 (79 × 79) is 6241.

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FAQs on the Square Root of 79

What is the Value of the Square Root of 79?

The square root of 79 is 8.88819.

Why is the Square Root of 79 an Irrational Number?

The number 79 is prime. This implies that the number 79 is pairless and is not in the power of 2. Therefore, the square root of 79 is irrational.

If the Square Root of 79 is 8.888. Find the Value of the Square Root of 0.79.

Let us represent √0.79 in p/q form i.e. √(79/100) = 0.79/10 = 0.889. Hence, the value of √0.79 = 0.889

Is the number 79 a Perfect Square?

The number 79 is prime. This implies that the square root of 79 cannot be expressed as a product of two equal integers. Therefore, the number 79 is not a perfect square.

What is the Square Root of 79 in Simplest Radical Form?

The number 79 is a prime number. This implies that the number 79 is pairless and is not in the power of 2. Therefore, the radical form of square root of 79 cannot be simplified further.

What is the Square Root of -79?

The square root of -79 is an imaginary number. It can be written as √-79 = √-1 × √79 = i √79 = 8.888i
where i = √-1 and it is called the imaginary unit.

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