The square source of 50 is a number which when multiplied through itself results in 50. Finding the square root of a number is extremely necessary for recognize the side size of a square from its area. Us will currently look at exactly how to find the value of the square root of 50 and solve some troubles to help give girlfriend a better understanding.

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

## What is the Square root of 50?

The square source of a number is a number which when multiplied by itself, results in the initial number. Because that example, the square root of 25 is 5, together 5 times 5 outcomes in 25. However, friend can likewise have square root of some numbers that carry out not an outcome in entirety numbers, such together 50. We deserve to express the square root of 50 in various 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 source 50, we watch that the is never ever ending: √50 = 7.0710678118…….Therefore, we can conclude the Square source of 50 is Irrational.

## How to discover the Square source of 50?

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

Prime Factorization

### Prime Factorization

50 = 2 × 5 × 5

Next, this deserve to be lessened further come 50 = 2 × 52Finally, to find the source 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: ar a bar end the number 50. We likewise 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 proceed doing the same actions till we obtain the number of decimals we require.

So our long department now looks like this:

Therefore, the Square source of 50 is 7.071

Explore Square roots making use of illustrations and interactive examples

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 source of 50 addressed Examples

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

Solution:

First, to calculation the cost of fencing us would require the perimeter the the land.To uncover the perimeter, we require to find the side length first.Side length is the square source of area for a square.

Therefore, side length right here 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 under the highway in ~ an typical speed of 5√50 mi/hr for fifty percent an hour. Just how much distance does that cover?

Solution:

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 consists a distance of 17.677 miles.

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## Interactive Questions

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## FAQs ~ above Square source 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 the 50 is 502 = 2500.

### What is the square root of 50 simplified?

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

See more: Son, Come Home With Your Shield Or On It, Come Back With Your Shield, Or On It

### Is the square source of 50 a reasonable number?

The square source of 50 is an irrational number together it is non-terminating. It can not be express in the form p/q i beg your pardon is what renders a reasonable number.