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 2 years ago
Simplify the number using the imaginary unit i:
(square root) 28
options:
a. 2(square root) 7
b. 2(square root) 7
c. i(square root) 28
d. 2i(square root) 28
 2 years ago
Simplify the number using the imaginary unit i: (square root) 28 options: a. 2(square root) 7 b. 2(square root) 7 c. i(square root) 28 d. 2i(square root) 28

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SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3Ok so it is \[\large{\sqrt{28}}\] Correct?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Factor 28 first to find the perfect square. and remember that i=√(1)

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3\[\large{\sqrt{28} = \sqrt{1}\sqrt{28} = \sqrt{1} \sqrt{4*7}}\]

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3So it will be \[\large{(\sqrt{1}) 2\sqrt{7} }\]

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3Now as we know that \[\large{\sqrt{1} = i (\textbf{IOTA})}\]

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3So we have answer : \(\large{ i \sqrt{28} }\)

k.rene.s
 2 years ago
Best ResponseYou've already chosen the best response.0Yes thanks for both of your help and Sheldon for explaining so well :)

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3You're welcome and thanks for the appreciation.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0i√28 is not fully simplified.

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3Options have isqrt{28}

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3Hence no need to simplify further.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Ah, yes. After a second look 2i√7 isn't an option.

SheldonEinstein
 2 years ago
Best ResponseYou've already chosen the best response.3Yeah, at first I thought the same and hence simplified it further but when saw the options again , I got to see the option i sqrt{28}...
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