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Well, isn't that a happy little math problem! When you divide 12 by the square root of 3, you get 4 times the square root of 3. Isn't that just a delightful little number to work with? Just remember, there are no mistakes in math, only happy little accidents!
Oh, dude, you're hitting me with some math here. So, like, the answer to 12 divided by the square root of 3 is just 4 times the square root of 3. Easy peasy lemon squeezy, right? Math can be fun... or not.
The square root of 3 = 1.732050808...
12 / 1.732050808... = 6.92820323...
When dealing with irrational denominators (square root of xxx), you must rationalize the fraction. This can be accomplished by multiplying the entire fraction by the square root in question. In this case it is the square root of 3. Multiply both the top and bottom by this number. The result is 12 radical 3 divided by 3 (because square root of 3 squared is 3). You then simplify 12 radical 3 over 3. How, you ask? Well it is quite simple. 12 divided by 3 is 4. 4 radical 3 is your answer. 4 radical 3 = 6.92820323... (although the decimal is never exact, hence the use of the radical expression).
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.
Yes, the expression 2 divided by 2 square root 3 can be simplified. To simplify this expression, we need to rationalize the denominator. Multiplying both the numerator and the denominator by the conjugate of the denominator (2 square root 3), we get (2 * 2 square root 3) / (2 * 2 square root 3 * 2 square root 3). This simplifies to 4 square root 3 / 12, which further simplifies to square root 3 / 3.
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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!! :-)
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