SOLUTION: square root of -15 multiplied by square root of -3 divided by square root of 5

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Question 652351: square root of -15 multiplied by square root of -3 divided by square root of 5
Found 2 solutions by Shana-D77, MathTherapy:
Answer by Shana-D77(132) About Me  (Show Source):
You can put this solution on YOUR website!
square root of a negative, as you know, is not real. BUT, if you multiply a negative square root by another negative square root, you get a positive! So,
(sqrt -15)(sqrt -3) = sqrt 45
sqrt 45 simplifies to sqrt 9 * sqrt 5
sqrt 9 = 3 so,
sqrt 45 = 3 sqrt 5
(3 sqrt 5)/(sqrt 5) = 3
Answer = 3

Answer by MathTherapy(10801) About Me  (Show Source):
You can put this solution on YOUR website!
square root of -15 multiplied by square root of -3 divided by square root of 5
*************************************
x = 5 or  -  4, as stated by the other person, is WRONG!   

The statement by the other person, ".....BUT, if you multiply a negative square root by another
negative square root, you get a positive!", is DEAD WRONG! As a result, his/her answer, 3, is WRONG!

highlight%28sqrt%28-+15%29sqrt%28-+3%29%2Fsqrt%285%29%29 
sqrt%28-+1+%2A+3+%2A+5%29sqrt%28-+1+%2A+3%29%2Fsqrt%285%29
sqrt%28-+1%29sqrt%283%29sqrt%285%29sqrt%28-+1%29sqrt%283%29%2Fsqrt%285%29 ----- Applying sqrt%28m%2An%2Ao%29+=+sqrt%28m%29sqrt%28n%29sqrt%28o%29, sqrt%28m%2An%29+=+sqrt%28m%29sqrt%28n%29
i%2Asqrt%283%29sqrt%285%29i%2Asqrt%283%29%2Fsqrt%285%29 ---- Changing sqrt%28-+1%29 to i