# mat/117

Simplify the expression completely (9-5 4√6)(7- 4√8).

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1. Not sure just what

(9-5 4√6)

means.

But, let's ignore the 5 for now and pretend you had

(9-4√6)(7- 4√8)
Just expand like any polynomial:
9*7 - 4√6*7 - 9*4√8 + 4√6*4√8
63 - 28√6 - 36√8 + 16√48
Pulling out all the perfect squares, we are left with
63 - 28√6 - 72√2 + 64√3

Not sure just how much you want to massage all that.

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posted by Steve

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