SOLUTION: give the principal roots of each of the following.(for sqaure root is required unless the problem indicates otherwise.)
5. square root of 49
6.square root of -27 cubed
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Question 252903: give the principal roots of each of the following.(for sqaure root is required unless the problem indicates otherwise.)
5. square root of 49
6.square root of -27 cubed
Found 3 solutions by Greenfinch, drk, Theo:
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
5. +or - 7
6. -27 = {(-3)^3}^3
= {-3}^9
so sqrt is {-3}^(9/2)
+ or - 81 x (sqrt3) x i
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
the = 7, so
we get 5x7 = 35.
--
So,
.
I don't know what you know about negative square roots: We have one of two answers:
(i) no solution.
81sqrt(3) x i
(ii) 80isqrt(3)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
= = 7.
= = = = = =
to confirm first equation:
= = 7.
to confirm second equation:
= = = .
=
is the same as .
this can be seen easier with exponential notation.
is the same as which equals which equals .
is the same as which equals which equals .
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