What is the square root of 14
The Correct Answer and Explanation is:
The square root of 14 is approximately 3.74166.
To explain this, the square root of a number refers to a value that, when multiplied by itself, gives the original number. In this case, the square root of 14 is a number that, when squared (multiplied by itself), equals 14.
We know that 3 squared (3 × 3) equals 9 and 4 squared (4 × 4) equals 16. Since 14 lies between 9 and 16, its square root will be between 3 and 4. To find a more accurate value, you can use a calculator or a method like Newton’s method to approximate the square root.
For example, using a calculator, the square root of 14 is roughly 3.74166. This is an approximation, as the square root of 14 is an irrational number, meaning it has an infinite number of non-repeating decimal places. You could also estimate it by starting with a value between 3 and 4, squaring it, and adjusting until you get closer to 14.
To give a practical application: when working with square roots in geometry, such as finding the length of a diagonal in a rectangle where the sides are 7 and 14, the diagonal would be the square root of the sum of the squares of these two sides, which in this case gives you a result involving the square root of 14.
So, while 3.74166 is a useful approximation, it’s important to recognize that the actual square root of 14 is an irrational number that can never be fully expressed in decimal form.
