How do you simplify 8sqrt448?

1 Answer
Stefan V.
Feb 22, 2016

64 * sqrt7.

Explanation:

448 = 2 * 224 = 2 * 2 * 112 = 2 * 2 * 2 * 56

=2 * 2 * 2 * 2 * 28 = 2 * 2 * 2 * 2 * 2 * 14

=2 * 2 * 2 * 2 * 2 * 2 * 7

8 * sqrt448 = 8 * sqrt(8 * 8 * 7) = 8 * 8 * sqrt7 = 64 * sqrt(7)

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