Open In App

Square Root of 200

Value of Square Root of 200 is 14.142. The square root of 200 is represented as √200 or 2001/2. When multiplied by itself, √200 will result in the number 200. There are two possible values of root of 200 which are 14.142… and -14.142…

In this article, we will learn the value of the square root of 200, and how to find the value of the square root of 200.



What is Square Root of 200?

Square Root of 200 up to 10 decimal places is as follows:



√200 = 14.1421356237

The value of the square root of 200 is widely accepted as 14.142. Square Root of 200 can be represented in the following two ways:

Square Root of 200 Calculator

Try out the following calculator to find the square root of 200

How to Find the Square Root of 200?

The square root of a number is the value that when multiplied by itself, results in the number taken as input. To compute the root of a number, we usually apply one of these two methods:

Square Root 200 Value by Long Division Method

It is always easier to compute the square root of perfect squares. But to compute the square root of a non-perfect square, we need to perform the long division method.

To compute the square root of 200, we need to follow the steps given below:

Square Root 200 by Prime Factorization Method

In Prime Factorization method we find the prime factors of the given number and make pair of prime factors. Then using rule of exponent we find the square root. The square root of 200 with prime factorization method can be calculated as follows:

If we want we can later calculate it as follows:

Is Square Root of 200 Rational or Irrational?

The value of √200 is 14.142… value can’t be determined exactly because it can not be represented as a fraction i.e. in the form of a/b where a and b are integers and b can’t be zero. Also, its decimal expansions are non-terminating and non-repeating.

So, the square root of 200 is an irrational number.

Also, Check

Root 200 Frequently Asked Questions

What is the Value of Square Root of 200?

The value of the square root of 200, is approximately 14.14213.

Why is Square Root of 200 an Irrational Number?

The square root of 200 is considered an irrational number because it cannot be expressed as a simple fraction or ratio of two integers.

What is Root 200 symbol?

Root 200, is represented by the square root symbol √ and written as √200.

Is 200 a Perfect Square?

No, 200 is not a perfect square as its square root is not an integer

Does a Square Root of 200 has Two Values?

Yes, square root of 200 has two values 14.142 and -14.142 as both when multiplied with themselves they approximately give the product equal to 200

Article Tags :