sqrt916

sqrt916 refers to the square root of 916 in mathematics. The principal square root is the nonnegative number that, when squared, equals 916.

In exact form, sqrt(916) can be simplified by factoring 916 as 4 × 229. This gives sqrt(916) = sqrt(4 × 229) = 2 × sqrt(229). Since 229 is prime and not a perfect square, the radical sqrt(229) cannot be simplified further, so the expression is in simplest radical form.

Numerically, sqrt(916) ≈ 30.2655. The value lies between 30 and 31 because 30^2 = 900 and 31^2 = 961. As with any non-square positive integer, sqrt(916) is an irrational number, meaning its decimal expansion is nonterminating and nonrepeating.

Applications and context: sqrt(916) may appear in geometric calculations, such as determining lengths or distances in problems where a quantity squared equals 916, and in numerical methods that require square roots. It also serves as an example of how radicals involving composite numbers can sometimes be partially simplified by factoring out perfect squares.

Related topics include square roots, radical simplification, and irrational numbers.