SOLUTION: Multiply {{{(3*sqrt(2)-6*sqrt(5))(4*sqrt(2)+8*sqrt(5))}}}
Algebra.Com
Question 224811: Multiply
Found 2 solutions by RAY100, LtAurora:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(3sqrt2 -6sqrt5)(4sqrt2+8sqrt5)
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use distribution or FOIL
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(3sqrt2)(4sqrt(2) +(3sqrt2)(8sqrt5)-(6sqrt5)(4sqrt2)-(6sqrt5)(8sqrt5)
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{(3*4)(sqrt2*sqrt2)}+{(3*8)(sqrt2*sqrt5)}-{6*4)(sqrt5*sqrt2)} -{(6*8)(sqrt5*sqrt5)}
.
{12 sqrt4} + {24sqrt(10) - {24sqrt10} - {48sqrt25}
.
{12*2} +[0} - {48*5}
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24 - 240
.
-216
.
.
Check,,,,use calc to est original,,,,ok
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Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!
Factor this out:
Now, combine all the terms:
The middle terms cancel out and the first and last terms can be multiplied and then combined to yield:
=-216
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