Question

geometry
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pythagorean/radicals review
simplify.

1. 6√42

Explanation:

Step1: Factorize the number inside the radical

Factorize \(42\) into its prime factors: \(42 = 2\times3\times7\). Since there are no perfect - square factors (other than \(1\)) of \(42\), the radical \(\sqrt{42}\) cannot be simplified further.

Answer:

\(6\sqrt{42}\) (because \(42\) has no perfect - square factors other than \(1\), so the expression \(6\sqrt{42}\) is already in its simplest form)