simplify \\(\\sqrt{30}\\)
simplify \\(\\sqrt{30}\\)
Answer
Explanation:
Step1: Factorize 30
To simplify a square root, we factor the number inside the square root (the radicand) into its prime factors. The prime factorization of 30 is (30 = 2\times3\times5).
Step2: Check for perfect square factors
A perfect square factor is a factor that is a square of an integer (e.g., (1, 4, 9, 16, 25,) etc.). Looking at the prime factors of 30 ((2, 3, 5)), none of these factors are perfect squares, and there are no combinations of these factors that multiply to a perfect square.
Answer:
(\sqrt{30}) (since it cannot be simplified further as there are no perfect square factors in 30)