The square root of 50 is a number which when multiplied through itself results in 50. Recognize the square root of a number is extremely necessary for detect the side size of a square native its area. Us will currently look at just how to discover the value of the square root of 50 and solve some difficulties to aid give you a far better understanding.

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

What is the Square source of 50?

The square root of a number is a number which when multiplied by itself, outcomes in the original number. Because that example, the square root of 25 is 5, as 5 time 5 outcomes in 25. However, you can also have square roots of some numbers that do not an outcome in entirety 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 root of 50 rational or Irrational?

Looking in ~ the decimal type of the root 50, we view that the is never ending: √50 = 7.0710678118…….Therefore, we deserve to conclude the Square root of 50 is Irrational.

How to uncover the Square root of 50?

There space 2 main methods we use to uncover the Square source of 50:

Prime Factorization

Prime Factorization

50 = 2 × 5 × 5 

Next, this can be reduced further come 50 = 2 × 52Finally, to find the root of this from 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: place a bar over the number 50. We also pair the 0s in decimals in bag of 2 native left to right.Step 5: The following divisor will certainly be 140 + 0 and also dividend will certainly be 10000. We proceed doing the same measures till we obtain the number of decimals we require.

So our long department now looks prefer this: 

Therefore, the Square source of 50 is 7.071

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Challenging Questions

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

Square root of 50 solved Examples

Example 1: Kevin wants to buy a square plot i beg your pardon is 50 square feet in area. That plans on fencing the area and also wants to calculate the price of doing so. If the expense per mile the fencing is 40 dollars, discover the cost of fencing the entire perimeter that the plot?


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

Therefore, next length right here will it is in √50 = 7.071, and perimeter 4 time this.Hence, the complete cost that fencing = 4 × 7.071 × 40 = $1131.36.

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


We have to 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 consist of a street of 17.677 miles.

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FAQs ~ above Square source of 50

What is the square root of 50?

The square root of 50 is √50 = 7.071.

What is the square that 50?

The square of 50 is 502 = 2500.

What is the square source of 50 simplified?

The square root of 50 in simplified kind is 5√2.

See more: How Far Can You Throw A Baseball, Throwing 100 Yards

Is the square root of 50 a reasonable number?

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