The square source of 50 is a number which once multiplied by itself outcomes in 50. Detect the square source of a number is extremely essential for finding the side size of a square indigenous its area. Us will now look at how to uncover the worth of the square source of 50 and also solve some problems to assist give friend a better understanding.

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

What is the Square source of 50?

The square source of a number is a number which when multiplied by itself, outcomes in the initial number. Because that example, the square source of 25 is 5, together 5 times 5 outcomes in 25. However, friend can additionally have square root of part numbers that carry out not an outcome in totality numbers, such as 50. We have the right to 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 reasonable or Irrational?

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

How to uncover the Square root of 50?

There are 2 main methods we use to find the Square root of 50:

Prime Factorization

Prime Factorization

50 = 2 × 5 × 5 

Next, this can be decreased 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: ar a bar end the number 50. We additionally pair the 0s in decimal in bag of 2 native left come right.Step 5: The next divisor will be 140 + 0 and dividend will be 10000. We proceed doing the same procedures till we get the number of decimals we require.

So our long division now looks like 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 root of 50? If yes, why?Find the square root of: 0.5500000

Square root of 50 resolved Examples

Example 1: Kevin wants to to buy a square plot i m sorry is 50 square feet in area. He plans top top fencing the area and wants to calculate the price of act so. If the expense per mile that fencing is 40 dollars, uncover the price of fencing the whole perimeter of the plot?


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

Therefore, next length below will be √50 = 7.071, and perimeter 4 time this.Hence, the total cost of fencing = 4 × 7.071 × 40 = $1131.36.

Example 2: Randal is travelling down the highway at an mean speed that 5√50 mi/hr for half an hour. Just how much street does the cover?


We have to use the formula distance = 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 on Square root of 50

What is the square source of 50?

The square source of 50 is √50 = 7.071.

What is the square that 50?

The square the 50 is 502 = 2500.

What is the square source of 50 simplified?

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

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Is the square root of 50 a rational number?

The square root of 50 is an irrational number as it is non-terminating. It can not be express in the form p/q which is what provides a rational number.