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Simplify the expression. Give the exact value in simplified form. Rationalize any...

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schooledmom | Salutatorian

Posted June 12, 2013 at 12:54 PM via web

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Simplify the expression. Give the exact value in simplified form. Rationalize any denominator.

4 times the square root of 3

            over

2 times the square root of 8

Tagged with algebra 1, math

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llltkl | College Teacher | Valedictorian

Posted June 12, 2013 at 1:55 PM (Answer #1)

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 `(4*sqrt(3))/(2*sqrt(8))`

`=(4*sqrt(3))/(2*sqrt(4*2))`

`=(4*sqrt(3))/(4*sqrt(2))`

`=sqrt(3)/sqrt(2)`

Now, rationalising the denominator we get:

 

`=(sqrt(3)*sqrt(2))/(sqrt(2)*sqrt(2))`

Since, `root(n)(x)*root(n)(y)=root(n)(xy)` , we get:

`=sqrt(6)/2`

This is the required answer.

 

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