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# What is the √2 divided by 2?

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What is the √2 divided by 2?

Could you show me the steps how to solve? Please keep the answer in the root.

Indranil  Oct 22, 2017
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#1
+81075
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Note that 2  = √2 * √2

So

√2 / 2  =  √2 /   [√2 * √2 ]   =    1 / √2

CPhill  Oct 22, 2017
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I agree with you CPhill, but isn't a fraction not allowed to have a square root in the denominator?

I think we are supposed to multiply both the numerator and denominator by the square root of 2.

supermanaccz  Oct 22, 2017
#3
+81075
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But...if we did that....we would just end up with what we started with.....

Besides   1 / √2    is just a number.......there's no "voodoo" associated with having a root in the denominator

CPhill  Oct 22, 2017

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