The square source of 74 is expressed together √74 in the radical type and together (74)½ or (74)0.5 in the exponent form. The square source of 74 rounded up to 6 decimal places is 8.602325. It is the confident solution of the equation x2 = 74.

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Square source of 74: 8.602325267042627Square root of 74 in exponential form: (74)½ or (74)0.5Square source of 74 in radical form: √74
1.What Is the Square source of 74?
2.Is Square source of 74 reasonable or Irrational?
3.How to discover the Square source of 74?
4.Important note on Square root of 74
5.FAQs top top Square source of 74
6.Challenging Questions

What is the square root of 74?


The square source of 74 is 8.602 and expressed as √74=8.6

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The square source of 74 lies between the whole numbers 8 and also 9


Is Square source of 74 reasonable or Irrational?


The square source of 74 is a non-terminating decimal.√74=8.60232526704..Also, it can not be expressed in the form of a fraction (p/q), and also hence is an irrational number.


How to discover Square source of 74?


The square root of 74 can be quickly calculated by lengthy division.

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At each action of the lengthy division, the quotient is included to the divisor. Also, two digits (two zero\"s) are lugged over in each step of the department process. The method of long department method gives an accurate value that the square root. More using this lengthy division, the square root values of a few numbers are:


Important Notes:


The square source of 74 in the radical kind is expressed together √74.In exponent form, the square root of 74 is expressed together 74½.

Challenging Question


A school has around 744 students. On a sports meet, the teachers great to do the students was standing in columns, such that the variety of students in every column is same to the variety of columns. Discover the variety of students in each column with the help of techniques used in square root of 74.


Solved Examples

 


Example 1 Susan has a perform of 74 guests because that a party She has to make the plan of chairs, such that the variety of rows is same to the number of chairs in each row. Discover the number of chairs in each row.

Solution

Given the Susan has 74 guests.Also us have:Number that rows = Number of chairs in each row = xTotal chairs = number of rows x variety of chairs in every rowTotal chairs = x × x = x2We recognize that square root of 74 s not a perfect square. Allow us try to find the number which is nearest come 74 and also is a perfect square.The square number better than 74 is 81Hence x2 = 81 = x = 9


 

Example 2 A group plans because that an excursion because that its members and decides to collect as much money from each member as the number of members in the group. The total amount gathered is $.5476 How numerous members space there in the group.

Solution

Given the the number of members in the group is equal to the quantity of money gathered from each member.Number that member in the group = Amount gathered from each member = xTotal quantity collected = $5476Number the members × Amount accumulated from each member = $5476x × x = 5476x2 = 5476x = √5476 = 74$74 is collected from every member that the group.


Example: If the area that a one is 74π in2. Uncover the radius that the circle.

Solution:

Let \"r\" it is in the radius of the circle.⇒ Area the the one = πr2 = 74π in2⇒ r = ±√74 inSince radius can\"t it is in negative,⇒ r = √74The square source of 74 is 8.602.⇒ r = 8.602 in


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FAQs ~ above the Square root of 74

What is the value of the Square source of 74?

The square source of 74 is 8.60232.

Why is the Square root of 74 an Irrational Number?

Upon element factorizing 74 i.e. 21 × 371, 2 is in strange power. Therefore, the square source of 74 is irrational.

What is the Square source of -74?

The square root of -74 is an imaginary number. It can be created as √-74 = √-1 × √74 = i √74 = 8.602iwhere i = √-1 and also it is dubbed the imagine unit.

What is the value of 11 square root 74?

The square source of 74 is 8.602. Therefore, 11 √74 = 11 × 8.602 = 94.626.

If the Square source of 74 is 8.602. Find the worth of the Square source of 0.74.

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Let us stand for √0.74 in p/q type i.e. √(74/100) = 0.74/10 = 0.860. Hence, the value of √0.74 = 0.860

Is the number 74 a Perfect Square?

The prime factorization of 74 = 21 × 371. Here, the prime element 2 is not in the pair. Therefore, 74 is no a perfect square.