What is the square root of 104

Approx. 10.198

Step-by-step explanation:

104 is not a perfect square. 100 is a perfect square whose square root is 10. The next larger perfect square is 121, whose square root is 11.

Thus, the square root of 104 lies between 10 and 11, being closer to 10 than to 11 since 104 is closer to 100 than to 121.

Unfortunately, none of the factors of 104 is a perfect square, so we can only approximate √104.

There are numerical methods, such as Newton's Method of Approximating Roots, that could be used to find the square root of 104 to multiple decimal places.

If we use a calculator, we get √104 = 10.198, which is definitely closer to 10 than to 11.