How does √3/2 end up being √6 /2
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How does √3/2 end up being √6 /2

[From: ] [author: ] [Date: 11-05-04] [Hit: ]
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I'm solving a quadratic equation by completing the square. It shows you how to do the problem the only thing is one of the steps goes from √(x-1)^2= √3/2 all under the radical to x-1 = √6 /2 the 2 no longer being under a radical. I under stand the x-1 part but why does the √3/2 change to a √6 /2??

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√(3/2) <---Like that right? Because you said it was all under the radical sign?

What they did was Rationalize the Denominator.

√(3/2) = √3/√2

To rationalize the denominator, they multiplied the numerator and denominator by √2

√3/√2 * √2/√2 = √6/√4 = √6/2

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√(3/2)
= √(6/4)
= √(6) / 2
1
keywords: up,radic,How,does,being,end,How does √3/2 end up being √6 /2
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