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Subtract the radicals: 4√18 - 5√32 - 2√12 - 18√3

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spock6 | Student, Undergraduate | Honors

Posted May 3, 2012 at 5:14 PM via web

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Subtract the radicals: 4√18 - 5√32 - 2√12 - 18√3

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 3, 2012 at 5:22 PM (Answer #1)

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The result of `4*sqrt 18 - 5*sqrt 32 - 2*sqrt 12 - 18*sqrt 3` has to be determined.

`4*sqrt 18 - 5*sqrt 32 - 2*sqrt 12 - 18*sqrt 3`

=> `4*3*sqrt 2 - 5*4*sqrt 2 - 2*2*sqrt 3 - 18*sqrt 3`

=> `12*sqrt 2 - 20*sqrt 2 - 4*sqrt 3 - 18*sqrt 3`

=> `-8*sqrt 2 - 22*sqrt 3`

The result of `4*sqrt 18 - 5*sqrt 32 - 2*sqrt 12 - 18*sqrt 3` = `-8*sqrt 2 - 22*sqrt 3`

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