# How do you find the square root of -63?

The root of a negative number results in an imaginary number, identified as i. Remember that i = ##sqrt(-1)##

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So, ##sqrt(-63)## = ##sqrt(63*(-1))## = ##sqrt(63)## ##sqrt(-1)##
= ##sqrt(63)## i

From here we should try to simplify the 63 by finding perfect squares.
##sqrt(63)## = ##sqrt(9*7)## =##sqrt(9)## ##sqrt(7)## =3##sqrt(7)##

Putting the i back in place the final answer will be
3##sqrt(7)##i

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