document.write( "Question 1023671: simplify \r
\n" ); document.write( "\n" ); document.write( "\sqrt{-24} * \sqrt{-6}}
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Algebra.Com's Answer #639135 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
you have listed two denominators with no numerator:
\n" ); document.write( "(??\sqrt{-24}) * (??\sqrt{-6}}
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\n" ); document.write( "Or perhaps you meant to write the equation like this?
\n" ); document.write( "sqrt(-24)sqrt(-6)
\n" ); document.write( "If this is the case:
\n" ); document.write( "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:
\n" ); document.write( "sqrt(-24)isqrt(6)
\n" ); document.write( "sqrt(-24) = sqrt(-1)sqrt(24) = isqrt(24):
\n" ); document.write( "isqrt(24)isqrt(6)
\n" ); document.write( "sqrt(24) = sqrt(2^3×3) = 2sqrt(2)sqrt(3):
\n" ); document.write( "i×2sqrt(2)sqrt(3)isqrt(6)
\n" ); document.write( "sqrt(2)sqrt(3) = sqrt(2×3):
\n" ); document.write( "i×2sqrt(2×3)isqrt(6)
\n" ); document.write( "2×3 = 6:
\n" ); document.write( "i×2sqrt(6 )isqrt(6)
\n" ); document.write( "i×2sqrt(6)isqrt(6) = i^2×2×6:
\n" ); document.write( "i^2×2×6
\n" ); document.write( "i^2 = -1:
\n" ); document.write( "-1×2×6
\n" ); document.write( "-2×6 = -12 This is your answer:
\n" ); document.write( "sqrt(-24)sqrt(-6) = -12
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