The square source of 50 is a number which as soon as multiplied by itself outcomes in 50. Recognize the square root of a number is extremely essential for finding the side length of a square from its area. Us will now look at exactly how to discover the value of the square source of 50 and solve some difficulties to assist give friend a far better understanding.

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

What is the Square root of 50?

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

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

How to discover the Square root of 50?

There are 2 main methods we usage to discover the Square root of 50:

Prime Factorization

Prime Factorization

50 = 2 × 5 × 5 

Next, this have the right to be reduced further come 50 = 2 × 52Finally, to discover the root of this from below 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 next divisor will certainly be 140 + 0 and also dividend will certainly be 10000. We proceed doing the same actions till we gain the variety of decimals us require.

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

Square root of 50 fixed Examples

Example 1: Kevin desires to purchase a square plot i m sorry is 50 square feet in area. He plans ~ above fencing the area and wants to calculation the price of act so. If the expense per mile the fencing is 40 dollars, discover the price of fencing the whole perimeter the the plot?


First, to calculate the cost of fencing us would require the perimeter that the land.To uncover the perimeter, we need to uncover the side size first.Side size is the square root of area for a square.

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

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


We have to use the formula distance = speed × TimeSpeed = 5√50 = 35.355 mi/hrTime = 0.5 hrUsing the formula, street = 35.355 × 0.5 = 17.677Therefore, Micheal consists a distance of 17.677 miles.

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FAQs on Square root of 50

What is the square root of 50?

The square source of 50 is √50 = 7.071.

What is the square of 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.

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Is the square root of 50 a rational number?

The square source of 50 is an irrational number together it is non-terminating. It cannot be expressed in the type p/q i m sorry is what provides a reasonable number.