4 times the square root of 5. it's undefinable so that's the most you can simplify it without using imaginary numbers
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The square root of 12 equals the square root of 4 times 3. The square root of 4 is 2. The square root of 12 equals 2 times the square root of 3.
It is: (3*2)-(2*2) = 2
Well, honey, root 2 times root 6 is the same as the square root of 12, which simplifies to 2 times the square root of 3. So, in a nutshell, root 2 times root 6 equals 2 root 3. Math can be a real hoot, can't it?
hmm... okay, if I understand you correctly, 2 times the square root of 3 times the square root of 12? = 2(1.73)(3.46) = 11.9716. If you aren't using the approximations, then just simplifying is... [sorry, I can't do the square root sign on the computer...] 2(square root of 3)(square root of 12) = 2(square root of 3)(square root of 4*3) = 4(square root of 3)(square root of 3) = 4(3) = 12!!! HOPE I HELPED!! :-)
Oh, what a happy little math problem we have here! When you have 3 times the square root of 2 minus 1 times the square root of 2, you can combine like terms. So, 3 root 2 minus root 2 is equal to 2 times the square root of 2. Just like that, we've created a beautiful, simplified expression.