What is 200 square root?

The 200 square root is the value that, when multiplied by itself, equals 200. It is commonly written as √200 or 200^(1/2).

The exact value of the square root of 200 is an irrational number, meaning it cannot be expressed as a simple fraction or decimal. It is approximately equal to 14.14.

One way to calculate the square root of 200 is by using a calculator or a software program. Simply input the number 200 and use the square root function to obtain the result.

The square root of 200 can also be simplified in terms of its factors. The prime factorization of 200 is 2^3 * 5^2. Using the property of square roots that allows us to break them down into smaller factors, we can simplify the square root of 200 as √(2^3 * 5^2), which becomes √2^2 * √2 * √5^2. This simplifies further to 2√5, meaning that the square root of 200 can be expressed as twice the square root of 5.

The square root of 200 is frequently used in geometry and mathematics, particularly when calculating the length of a side in a right triangle where the other two sides have lengths of 100.