Does anyone know sqrt(-10) ?
Thank you!
2 answers:
Answer:
Step-by-step explanation:
![\sf \sqrt{-10} \\\\\sqrt{10} * \sqrt{-1} \\\\We \ know \ that \ \sqrt{-1} = i\\\\= \sqrt{10} i\\\\= \sqrt{2*5 } i \\\\Since \ 2 \ and \ 5 \ are \ not \ perfect \ squares, they \ cannot \ be \ simplified\ further.\\\\= \sqrt{10} i\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B-10%7D%20%5C%5C%5C%5C%5Csqrt%7B10%7D%20%2A%20%5Csqrt%7B-1%7D%20%5C%5C%5C%5CWe%20%5C%20know%20%5C%20that%20%5C%20%5Csqrt%7B-1%7D%20%3D%20i%5C%5C%5C%5C%3D%20%5Csqrt%7B10%7D%20i%5C%5C%5C%5C%3D%20%5Csqrt%7B2%2A5%20%7D%20i%20%5C%5C%5C%5CSince%20%5C%202%20%5C%20and%20%5C%205%20%5C%20are%20%5C%20not%20%5C%20perfect%20%5C%20squares%2C%20they%20%5C%20cannot%20%5C%20be%20%20%5C%20simplified%5C%20further.%5C%5C%5C%5C%3D%20%5Csqrt%7B10%7D%20i%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
√-10 does not exist and √10 cannot be further simplified rather than in decimals- √10= 3.16227766...
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