How would I simpify fraction: 10/sqrt5?

Question

zepdrix · Answer

To simplify it, we want to multiply it by a fraction that will not change it's VALUE, but will change the way it looks.

We can do this by multiplying by the number 1.
But not just any 1, a fraction which is equivalent to 1.$$\large \frac{2}{2}=1$$Right?
That's the idea we want to apply here. We'll multiply our fraction by,$$\large \frac{\sqrt5}{\sqrt5}$$

zepdrix · Answer

$$\huge \frac{10}{\sqrt5}\cdot\frac{\sqrt5}{\sqrt5}$$What do you get when you multiply this out? :)

anonymous · Answer

22/5?

zepdrix · Answer

The bottom of your fraction looks good.
But the top unfortunately, we can't simplify any further. we have to leave the multiplication on top.

But we do have one more step we can make. Here is what we have so far,$$\huge \frac{10\sqrt5}{5}$$

zepdrix · Answer

The 10/5 we should be able to simplify a little bit.

anonymous · Answer

We simplify it to 2sqrt5/1?

zepdrix · Answer

Yes very good!! :)

And your final step would be to get rid of the 1 on the bottom. No need to write a fraction over 1.$$\huge \frac{2\sqrt5}{1}\quad = \quad 2\sqrt5$$Ok good job! :D

anonymous · Answer

Thanks so much!