Can square root of 34 be simplified?

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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!