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(radicand 3  -2 radicand 2)^2.The -2 is not in the radical sign.

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rosey-girl | Student, Grade 12 | (Level 1) Valedictorian

Posted February 5, 2013 at 1:59 AM via web

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(radicand 3  -2 radicand 2)^2.

The -2 is not in the radical sign.

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jgeertz | College Teacher | (Level 1) Associate Educator

Posted February 5, 2013 at 2:19 AM (Answer #1)

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`(sqrt3-2sqrt2)^2`

Squaring an expression is the same as multiplying the expression itself twice.

`(sqrt3-2sqrt2)(sqrt3-2sqrt2)`

Using the FOIL method we get

`(sqrt3sqrt3+sqrt3*-2sqrt2-2sqrt2*sqrt3-2sqrt2*-2sqrt2)`

Simplify by combining like terms.

`sqrt3^2 -4sqrt3sqrt2+4sqrt2^2`

Raising a square root to the second power results in just the expression under the radicand.

`3-4sqrt6+4(2)`

`3-4sqrt6+8`

`11-4sqrt6`

``The solution is  `11-4sqrt6`

 

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