Question

rationalize the denominator 1/√5

Answer 1

\[(1/\sqrt{5}) * (\sqrt{5}/\sqrt{5})\]

Answer 2

i dont understand how to do it..

Answer 3

notice we need to multiply by \[\sqrt{5}/\sqrt{5}\]
so that we will no longer have a radical in the denominator.

since \[\sqrt{5}/\sqrt{5}\] is equal to 1, we are not changing the value. We are just changing what it looks like :)

Answer 4

To rationalize the denominator of a fraction:

\[\frac{k}{\sqrt{a}}\]

You multiply it by a form of '1' that will rid you of the square root in the denominator:

\[\frac{\sqrt{a}}{\sqrt{a}} = 1\]
\[\implies \frac{k}{\sqrt{a}} = \frac{k}{\sqrt{a}} \cdot \frac{\sqrt{a}}{\sqrt{a}} = \frac{k\sqrt{a}}{a}\]

Answer 5

so it would be 1√5/5?

Answer 6

Yes, but \[1\sqrt{5} = 1 \cdot \sqrt{5} = \sqrt{5}\]

Answer 7

So no need to write it with the extra 1

Answer 8

so this problem \[23\div \sqrt{23}\] would be \[23\sqrt{23}\div23\] but wouldnt that equal \[\sqrt{23}\]?

Answer 9

Yes