# Can square root of 34 be simplified?

Sep 13, 2015

Other than using a calculator to get an approximate value ($5.83$) for $\sqrt{34}$, $\sqrt{34}$ can not be simplified

#### Explanation:

The only factors ($> 1$) of $34$ are $2$ and $17$

Since neither of these are a square, $\sqrt{34}$ has no simplification.

Aug 2, 2018

$\sqrt{34} \approx 5.8309$- approximating using a calculator

#### Explanation:

First, let's think about the factors of $34$: $1 , 2 , 17 , 34$. None of them are perfect squares, so we can't simplify the radical.

We can rewrite $34$ as $2 \cdot 17$, and we would get $\sqrt{2} \sqrt{17}$, but this doesn't simplify things much.

Our last resort would be to approximate with a calculator. We get

$\sqrt{34} \approx 5.8309$

Hope this helps!