What is the square root of 50?

The square root of 50, denoted as √50, is an irrational number.

• It can be simplified to 5√2. This is achieved by factoring 50 into 25 * 2, where 25 is a perfect square. Therefore, √50 = √(25 * 2) = √25 * √2 = 5√2.

• Its approximate decimal value is 7.071. This is a non-repeating, non-terminating decimal, characteristic of <a href="https://www.wikiwhat.page/kavramlar/irrational%20numbers">irrational numbers</a>.

• It lies between the whole numbers 7 and 8, since 7² = 49 and 8² = 64. This helps in estimating its value.

• Finding the square root of 50 is related to the concept of <a href="https://www.wikiwhat.page/kavramlar/perfect%20squares">perfect squares</a> and understanding how to simplify radicals.

• The square root of 50 is used in various mathematical contexts, including geometry (e.g., calculating the length of a diagonal in a rectangle) and algebra.