Can square root of 34 be simplified?

Question

109569 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-13T23:37:35

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

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

Since neither of these are a square, $sqrt(34)$ has no simplification.

Answer 2 · 2018-08-02T22:04:19

$sqrt34~~5.8309$ - approximating using a calculator

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 $2*17$ , and we would get $sqrt2sqrt17$ , but this doesn't simplify things much.

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

$sqrt34~~5.8309$

Hope this helps!