Question

simplify \\(\sqrt{30}\\)

Explanation:

Step1: Factorize 30

To simplify \(\sqrt{30}\), we first factorize 30 into its prime factors. \(30 = 2\times3\times5\).

Step2: Check for perfect square factors

A square root can be simplified if there is a perfect square factor (other than 1). The prime factors of 30 are 2, 3, and 5, none of which are perfect squares (since \(2\), \(3\), and \(5\) are prime numbers and their squares are \(4\), \(9\), and \(25\) respectively, which are not factors of 30). So, \(\sqrt{30}\) cannot be simplified further as there are no perfect square factors in 30.

Answer:

\(\sqrt{30}\) (it cannot be simplified further as 30 has no perfect square factors other than 1)