SOLUTION: Can you explain the solution for: square root of 12 X square root of 5 = 2X square root of 15 Thanks

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Question 230844: Can you explain the solution for:
square root of 12 X square root of 5 = 2X square root of 15
Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
square root of 12 X square root of 5 = 2X square root of 15
sqrt%2812%29+%2A+sqrt%285%29+=+2%2Asqrt%2815%29
:
Factor 12 inside the radical to reveal the perfect square (4)
sqrt%284%2A3%29+%2A+sqrt%285%29+=+2%2Asqrt%2815%29
:
Extract the square root of 4
2%2Asqrt%283%29+%2A+sqrt%285%29+=+2%2Asqrt%2815%29
:
which is
2%2Asqrt%283%2A5%29+=+2%2Asqrt%2815%29
:
so you have
2%2Asqrt%2815%29+=+2%2Asqrt%2815%29