broderick365
simplify radical 32??



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hawkfalcon
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What is a small(ish) number that can be rooted that fits into that? Like 9,16,25,36.

broderick365
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2 @hawkfalcon

hawkfalcon
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Not 2, that can't be rooted. In this case you would use 16.

hawkfalcon
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For simplifying radicals, find a rootable number that fits into your radical an even amount of times. So, 16.

hawkfalcon
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Then, 32/16 = 2, so you are left with a 2 in the radical, and the root of 16 outside of it.

broderick365
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so the answer is 16 radical 2

hawkfalcon
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No, you have to root the 16, as you moved it outside of the radical. Think of it as \[\sqrt{16} * \sqrt{2} at this point. so \it would be 4\sqrt{2}\]

hawkfalcon
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Does that make sense?

broderick365
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yes thanks