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QUESTION IMAGE

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

Question

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

Explanation:

Step1: Factorize 30

Factorize 30 into prime factors: \(30 = 2\times3\times5\).

Step2: Check for perfect squares

In the prime factorization of 30, there are no perfect square factors (since \(2\), \(3\), and \(5\) are all prime numbers and their exponents are 1, which is less than 2). So, \(\sqrt{30}\) cannot be simplified further.

Answer:

\(\sqrt{30}\) (it is already in simplest form)