SOLUTION: simplify
\sqrt{-24} * \sqrt{-6}}
Algebra.Com
Question 1023671: simplify
\sqrt{-24} * \sqrt{-6}}
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
you have listed two denominators with no numerator:
(??\sqrt{-24}) * (??\sqrt{-6}}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Or perhaps you meant to write the equation like this?
sqrt(-24)sqrt(-6)
If this is the case:
sqrt(-6) = sqrt(-1)sqrt(6) = isqrt(6) Note: -1 is the square root of the number i, and isqrt(6) is because to get the square root of a negative number you have to use i:
sqrt(-24)isqrt(6)
sqrt(-24) = sqrt(-1)sqrt(24) = isqrt(24):
isqrt(24)isqrt(6)
sqrt(24) = sqrt(2^3×3) = 2sqrt(2)sqrt(3):
i×2sqrt(2)sqrt(3)isqrt(6)
sqrt(2)sqrt(3) = sqrt(2×3):
i×2sqrt(2×3)isqrt(6)
2×3 = 6:
i×2sqrt(6 )isqrt(6)
i×2sqrt(6)isqrt(6) = i^2×2×6:
i^2×2×6
i^2 = -1:
-1×2×6
-2×6 = -12 This is your answer:
sqrt(-24)sqrt(-6) = -12
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
simplify
\sqrt{-24} * \sqrt{-6}}
= 2(- 1) * 6 =
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