SOLUTION: Multiply {{{(3*sqrt(2)-6*sqrt(5))(4*sqrt(2)+8*sqrt(5))}}}

SOLUTION: Multiply {{{(3sqrt(2)-6sqrt(5))(4sqrt(2)+8sqrt(5))}}}

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)
.
use distribution or FOIL
.
(3sqrt2)(4sqrt(2) +(3sqrt2)(8sqrt5)-(6sqrt5)(4sqrt2)-(6sqrt5)(8sqrt5)
.
{(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}
.
24 - 240
.
-216
.
.
Check,,,,use calc to est original,,,,ok
.

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
RELATED QUESTIONS
Simplify: 2 sqrt (3) + 6 sqrt(2) - 4 sqrt(3) + sqrt (2) a) 8 sqrt(2) - 3 sqrt(3) b) 6 (answered by Fombitz)
multiply (3/sqrt 5 - 9/sqrt 2)(2/sqrt 5 + 6/sqrt... (answered by jsmallt9)
multiply (2 sqrt 6 - 4 sqrt 5) (3 sqrt 6 + 6 sqrt 5) please help, Thank... (answered by stanbon)
Multiply SQRT(3) (9 SQRT(2)-5... (answered by jsmallt9)
Multiply sqrt 2 (5 sqrt 7 minus 3 sqrt... (answered by algebrahouse.com)
Simplify: {{{((4+sqrt(5))(sqrt(5)... (answered by ben720)
6 sqrt[6](2 sqrt[3]+5... (answered by Boreal)
please!!!!!!!! {{{(1/(sqrt(1) + sqrt(2)))+(1/(sqrt(2) + sqrt(3)))+(1/(sqrt(3) +... (answered by psbhowmick)
How do you simplify {{{ 3 sqrt(18) - 4 sqrt(63) + 6 sqrt(28) + 5 sqrt(2) }}}... (answered by jorel1380)