Simplify Square Root Of 50

Square Root of fifty

The square root of fifty is a number which when multiplied by itself results in 50. Finding the square root of a number is extremely important for finding the side length of a square from its surface area. We will now wait at how to observe the value of the square root of fifty and solve some bug to help give you lot a better understanding.

Square Root of 50: √50 = 7.0710678...
Square of 50: l² = 2500

What is the Square Root of 50?

The square root of a number is a number which when multiplied past itself, results in the original number. For example, the square root of 25 is 5, equally 5 times v results in 25. However, you tin likewise have square roots of some numbers that practice not result in whole numbers, such as 50. We can limited the square root of 50 in different ways:

Decimal form: 7.071
Radical form: √50 = five√2
Exponent form: 50^one/2

Is the Square Root of 50 Rational or Irrational?

The decimal part of the foursquare root 50 is non-terminating. This is the definition of an irrational number. It also cannot be expressed as a ratio p/q which tells us it is irrational.
Looking at the decimal form of the root fifty, nosotros come across that it is never ending: √fifty = 7.0710678118…….
Therefore, we can conclude that Square Root of 50 is Irrational.

How to find the Square Root of 50?

In that location are 2 principal methods we utilize to find the Square Root of fifty:

Prime Factorization
Long division

Prime Factorization

To find the square root of 50, nosotros shall first express it in terms of its prime factors.

fifty = ii × 5 × 5

Next, this can be reduced further to 50 = 2 × 5²
Finally, to discover the root of this from hither information technology is very easy,

√50 = √(25 × 2) = v√two = v × 1.414 = 7.07

Therefore, the Square Root of 50 ≅ seven.07

Long Partition

Pace 1: Identify a bar over the digits 50. We also pair the 0s in decimals in pairs of 2 from left to right.
Step 2: Find a number such that when you multiply it with itself, the product is less than or equal to 50. We know that 7 × 7 = 49 which is less than 50. Dividing fifty past vii we get 7 as quotient and 1 as residual.
Step 3: Place a decimal after the quotient as we are now dividing using the 0s from the decimal function of 50. Recall to elevate downwardly the pair of 0s, making the dividend 100. As well, calculation 7 by itself gives usa 14 which becomes the starting digits of our next divisor.
Stride four: Now nosotros have 14X as our new divisor. We need to discover a value of X such that 14X × 10 gives u.s. a value less than 100. Only 0 fills X position and therefore the dividend is 140 and quotient is at present 7.0.
Footstep 5: The side by side divisor will exist 140 + 0 and dividend will be 10000. Nosotros continue doing the same steps till nosotros get the number of decimals we require.

So our long division now looks like this:

Square Root of 50

Therefore, theSquare Root of 50 is 7.071

Explore Foursquare roots using illustrations and interactive examples

Foursquare Root of 100
Square Root of x
Square Root of 25
Square Root of five
Square Root of xv

Challenging Questions

What is the foursquare root of 450?
Is -7.071 a root of 50? If aye, why?
Find the square root of:
- 0.5
- 500000

Example 1: Kevin wants to buy a foursquare plot which is l foursquare feet in expanse. He plans on fencing the surface area and wants to summate the cost of doing so. If the cost per mile of fencing is twoscore dollars, find the price of fencing the entire perimeter of the plot?

Solution:
- First, to summate the cost of fencing we would need the perimeter of the country.
- To detect the perimeter, we need to find the side length first.
- Side length is the square root of area for a square.
Therefore, side length here will be √fifty = vii.071, and perimeter four times this.
Hence, the full price of fencing = iv × 7.071 × 40 = $1131.36.
Example 2: Randal is travelling down the highway at an average speed of v√50 mi/hr for half an hour. How much distance does he comprehend?

Solution:

We need to use the formula Distance = Speed × Time
Speed = five√50 = 35.355 mi/hr
Time = 0.five hr
Using the formula, Distance = 35.355 × 0.five = 17.677
Therefore, Micheal covers a distance of 17.677 miles.

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FAQs on Square Root of 50

What is the square root of fifty?

The square root of 50 is √l = 7.071.

What is the square of 50?

The square of 50 is fifty² = 2500.

What is the square root of 50 simplified?

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

Is the foursquare root of 50 a rational number?

The square root of 50 is an irrational number equally it is non-terminating. It cannot be expressed in the class p/q which is what makes a rational number.

What is the exponent form of root l?

The exponent form if root 50 is fifty^1/2.