# Thread: Exact value

1. ## Exact value

How do I show $sqrt(2/5)$ as an exact value?

Thanks

2. Originally Posted by bigroo
How do I show $sqrt(2/5)$ as an exact value?

Thanks
That is an exact value.

$\sqrt{\frac{2}{5}} = \frac{\sqrt2}{\sqrt5}$

You can rationalise the denominator by multiplying by $\frac{\sqrt5}{\sqrt5}$

$\frac{\sqrt2}{\sqrt5} \cdot \frac{\sqrt5}{\sqrt5} = \frac{\sqrt{10}}{5}$

Although it's no more exact than the original expression

3. Thanks for your help, I just wasn't sure if I could express it differently.