sqrt15708

The number sqrt15708 represents the square root of the integer 15708. Mathematically, this is denoted as $\sqrt{15708}$. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we are looking for a number 'x' such that $x \times x = 15708$.

The number 15708 is not a perfect square, meaning its square root is not an integer. Therefore, sqrt15708 is an irrational number, which can be expressed as a decimal that goes on infinitely without repeating. Its approximate value is 125.3315.

The calculation of sqrt15708 can be performed using various methods, including calculators, computers, or numerical approximation techniques. In practical applications, the approximate decimal value is typically used. The exact form, sqrt15708, is often preferred in mathematical contexts where precision is paramount. The prime factorization of 15708 is $2^2 \times 3 \times 1309$. This allows for simplification of the square root to $2\sqrt{3927}$.