QUESTION IMAGE
Question
radical expressions 95 76% √22 simplify ?
Step1: Factorize the radicand
Factorize 22: \(22 = 2\times11\). Both 2 and 11 are prime numbers, so there are no perfect square factors (other than 1) in 22.
Step2: Determine if simplification is possible
Since the radicand (22) has no perfect square factors greater than 1, the square root of 22, \(\sqrt{22}\), cannot be simplified further. So the simplified form of \(\sqrt{22}\) is just \(\sqrt{22}\) itself.
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\(\sqrt{22}\) (or we can also write its approximate decimal value, but since the problem says "simplify" for a radical, the exact simplified form is \(\sqrt{22}\); if we calculate the approximate value, \(\sqrt{22}\approx4.690\))