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2nd to last step of Completing the Square, how does adding 2 give this?

I get that x-2=.... goes to x=2.... when you add 2 to both sides, that's obvious. However, I don't get why adding the two changes the +/- square root of 1/2 into 1/square root of 2.

Why does adding the two change the position of the root 2 in the equation? It goes from bring the root of 1/2, to 1/root 2

Thanks

Screenshot_34.png
12=12=12 \sqrt{\frac{1}{2}} = \frac{\sqrt{1}}{\sqrt{2}} = \frac{1}{\sqrt{2}}
Reply 2
Avatar for blobbybill
blobbybill
OP
11
Original post by NotNotBatman
12=12=12 \sqrt{\frac{1}{2}} = \frac{\sqrt{1}}{\sqrt{2}} = \frac{1}{\sqrt{2}}


Oh, they have just written it as the simplest form?
Original post by blobbybill
Oh, they have just written it as the simplest form?


Not the simplest, but rewritten in another form with the same value.
Reply 4
Avatar for Enya1998
Enya1998
5
Original post by blobbybill
Oh, they have just written it as the simplest form?


Yes, through the book they give answers in their simplest forms, so its a good habit to get used to simplifying your answers too

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