The square source of 50 is a number which when multiplied by itself outcomes in 50. Finding the square source of a number is extremely essential for finding the side size of a square native its area. Us will currently look at just how to discover the value of the square source of 50 and also solve some troubles to assist give you a much better understanding.

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Square root of 50: √50 = 7.0710678...Square of 50: 502 = 2500
1.What is the Square source of 50?
2.Is the Square source of 50 rational or Irrational?
3.How to discover the Square root of 50?
4.Challenging Questions 
5.FAQs top top Square source of 50

What is the Square root of 50?

The square root of a number is a number which when multiplied through itself, results in the original number. Because that example, the square root of 25 is 5, together 5 times 5 results in 25. However, friend can also have square roots of some numbers that carry out not result in whole numbers, such together 50. We can express the square root of 50 in different ways:

Decimal form: 7.071Radical form: √50 = 5√2Exponent form: 501/2

Is the Square source of 50 rational or Irrational?

Looking at the decimal type of the root 50, we watch that it is never ever ending: √50 = 7.0710678118…….Therefore, we can conclude the Square source of 50 is Irrational.

How to uncover the Square source of 50?

There space 2 key methods we use to discover the Square source of 50:

Prime Factorization

Prime Factorization

50 = 2 × 5 × 5 

Next, this have the right to be reduced further to 50 = 2 × 52Finally, to find the root of this from right here it is really easy, 

√50 = √(25 × 2) = 5√2 = 5 × 1.414 = 7.07

Therefore, the Square root of 50 ≅ 7.07

Long Division

Step 1: location a bar end the number 50. We additionally pair the 0s in decimals in bag of 2 indigenous left come right.Step 5: The following divisor will be 140 + 0 and dividend will be 10000. We continue doing the same steps till we get the variety of decimals us require.

So our long division now looks prefer this: 

Therefore, the Square source of 50 is 7.071

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Challenging Questions

What is the square source of 450?Is -7.071 a root of 50? If yes, why?Find the square root of: 0.5500000

Square source of 50 resolved Examples

Example 1: Kevin wants to purchase a square plot which is 50 square feet in area. The plans top top fencing the area and wants to calculate the price of act so. If the price per mile the fencing is 40 dollars, discover the cost of fencing the whole perimeter that the plot?


First, to calculate the price of fencing us would require the perimeter the the land.To discover the perimeter, we require to find the side length first.Side length is the square root of area because that a square.

Therefore, side length here will be √50 = 7.071, and perimeter 4 times this.Hence, the complete cost the fencing = 4 × 7.071 × 40 = $1131.36.

Example 2: Randal is travelling under the highway at an average speed that 5√50 mi/hr for fifty percent an hour. Exactly how much street does that cover?


We should use the formula street = rate × TimeSpeed = 5√50 = 35.355 mi/hrTime = 0.5 hrUsing the formula, distance = 35.355 × 0.5 = 17.677Therefore, Micheal covers a street of 17.677 miles.

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Interactive Questions

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FAQs top top Square root of 50

What is the square source of 50?

The square root of 50 is √50 = 7.071.

What is the square of 50?

The square of 50 is 502 = 2500.

What is the square root of 50 simplified?

The square source of 50 in simplified type is 5√2.

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Is the square root of 50 a reasonable number?

The square source of 50 is one irrational number together it is non-terminating. It can not be expressed in the form p/q which is what renders a reasonable number.