question (1 Viewer)

darshil · Oct 6, 2009

mental blank:

How is 5/(root5) = 5? I am blank over this

Thanks for the help.

wantingtoknow · Oct 6, 2009

It isn't, lol. 5/(root5) = root5

darshil · Oct 6, 2009

oh whoops, that is what i meant
how is that root 5, thats the mental blank

wantingtoknow · Oct 6, 2009

5 = (root5)*(root5)
Therefore 5/(root5) = [(root5)*(root5)]/(root5) = root5

darshil · Oct 6, 2009

Thanks for that! my hand is on my head at the moment hahah. all the best

Aquawhite · Oct 6, 2009

$\frac{5}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}} = \frac{5\sqrt{5}}{5} = \sqrt{5}$

Just kinda wanted to use latex.

micuzzo · Oct 6, 2009

conjugates.

Trebla · Oct 6, 2009

Alternatively,
$\dfrac{5}{\sqrt{5}}=5^1 \times 5^{-\frac{1}{2}} = 5^{\frac{1}{2}} = \sqrt{5}$