The square root of 324 is a number which, once multiplied through itself, results in 324. The number 324 is special since it is a perfect square root. This indicates that its square source is a entirety number. We will currently look at exactly how to find the value of the square root of 324 and solve some problems to understand this principle better.

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Square source of 324: √324 = 18Square the 324: 3242 = 104976

1.What Is the Square root of 324?
2.Is the Square source of 324 rational or Irrational?
3.How to uncover the Square root of 324?
4.FAQs top top Square root of 324

What Is the Square source of 324?

The square source of a number is a number which, once multiplied by itself, results in the original number. In the situation of 324, the number 18 as soon as multiplied by itself outcomes in the number 324, making 18 a perfect square. However, you can additionally have square roots of some numbers that carry out not result in totality numbers, such together 5. We deserve to express the square source of 324 in different ways.


Decimal form: 18.0Radical form: √324Exponent form: (324)1/2

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Is the Square root of 324 rational or Irrational?

Therefore, we deserve to conclude that the square source of 324 is rational.

How to uncover the Square root of 324?

There are 2 key methods we usage to find the Square source of 324:


Repeated subtractionLong division

Click below to learn around other approaches to uncover the square root of a number.

Repeated Subtraction

Start indigenous 324 and also keep subtracting succeeding odd number till we acquire zero. The complete numbers us subtract is the square source of 324.

324 - 1 = 323323 - 3 = 320320 - 5 = 315315 - 7 = 308308 - 9 = 299299 - 11 = 288288 - 13 = 275275 - 15 = 260260 - 17 = 243243 - 19 = 224224 - 21 = 203203 - 23 = 180180 - 25 = 155155 - 27 = 128128 - 29 = 9999 - 31 = 6868 - 33 = 3535 - 35 = 0

Since the total numbers we subtract is 18, the square source of 324 is 18.

Long Division

Step 1: place a bar end the number 03 and also 24.Step 3: Remember to drag under the next pair the numbers, i m sorry is 24, do the following dividend 224. Also, adding 1 through itself offers us 2 which i do not care the starting digit of our next divisor.

So our long division now looks like this: 

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Therefore, the square source of 324 is 18.

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Challenging Questions


What is the square source of the amount of the number of the source of 324?Find by recurring subtraction the roots of:729961

Solved Examples


Example 1: Kevin wants to buy a square plot which is 324 square feet in area. He desires to build a road along the size of the boundary. If the cost of including tar per feet is 40 dollars, find the cost of adding tar follow me the entire perimeter the the plot.


Solution:

First, to calculation the cost of including tar, us would need the perimeter that the land.

To uncover the perimeter, we need to find the side length first.

Side length is the square source of the area the the square.

Therefore, side length right here will be √324 = 18, and perimeter 4 time this.

Therefore, the total cost of adding tar = 4 × 18 × 40= $2880


Example 2: Chris is cycling come his office in ~ a rate of √324 mi/hr. Just how much time will certainly he take if he has to cover a distance of 9 miles?

Solution:

We need to use the formula Time = Distance/SpeedSpeed = √324 = 18 mi/hrDistance = 9 milesUsing the formula, Time = 9 / 18 = 0.5 hrs or 30 mins

Therefore, Chris will take 30 mins to reach his office.


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FAQs top top Square root of 324

Is 324 a perfect square root?


The square root of 324 is √324 = 18. Therefore, that is a perfect square root.

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What is the square that 324?

The square that 324 is 3242 = 104976

What is the square source of 324 simplified?

If you element 324, girlfriend will find that 324 = 2 × 2 × 9 × 9, or 18 × 18. Therefore, the simplified type can be composed as 182

Is the square source of 324 a reasonable number?

The square source of 324 is a reasonable number as it can be shown in the type p/q (18/1) and also it has a terminating decimal place.