SOLUTION: simplify: square root of 72

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Question 86790: simplify:
square root of 72
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
How about doing it this way:
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sqrt%2872%29+=+sqrt%2836%2A2%29
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Then by the rules of square roots, you can use the rule that:
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sqrt%28a%2Ab%29+=+sqrt%28a%29%2Asqrt%28b%29
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So you can write:
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sqrt%2836%2A2%29+=+sqrt%2836%29%2Asqrt%282%29
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But sqrt%2836%29+=+6
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Substituting 6 for sqrt%2836%29 in the right side of the simplification equation you get:
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sqrt%2872%29+=+sqrt%2836%2A2%29+=+sqrt%2836%29%2Asqrt%282%29+=+6%2Asqrt%282%29
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So the answer to this problem is sqrt%2872%29 simplifies to 6%2Asqrt%282%29
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Hope this helps you understand the simplification process for radicals.