### Simplify the expression 2 square root 3 multiply square root 12?

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…

### How can you solve the equation x2 plus 3i equals 0?

x2+3i=0 so x2=-3i x=square root of (-3i)=square root (-3)square root (i) =i(square root(3)([1/(square root (2)](1+i) and i(square root(3)([-1/(square root (2)](1+i) You can multiply through by i if you want, but I left it since it shows you where the answer came from. Note: The square root of i is 1/square root 2(1+i) and -1/square root of 2 (1+i) to see this, try and square them!

### How do you factor x squared plus x minus one half?

(x^2+x-1/2)= x(x+1)-1/2 [x + (1 - square root of 3)/2][x + (1 + square root of 3)/2] = 0 Check it: x^2 + x/2 + (square root of 3)x)/2 + x/2 + 1/4 + (square root of 3)/4 - (square root of 3)x/2 - (square root of 3)/4 - 3/4 = 0 x^2 + x/2 + x/2 + [(square root of 3)x]/2 - [(square root of 3)x]/2 + (square root of 3)/4 - (square root…

### How do you get 1 divided by the square root of 3 divided by 2?

You would go about this question by first specifying whether there are parenthesis around the square root (3/2) or if it looks like (square root 3)/2 Case A would look something like this. 1/(square root of 3/2) in this case you would multiply both the top and bottom by (square root of 3/2). The bottom portion would become (surprisingly!) 3/2. the top portion would be left as (square root of 3/2). Then, because you are…

### How do you rationale the denominator?

Depends on the situation. You usually have to multiply numerator and denominator by some number or expression. Examples: 1 / square root of 2 Here, you have to multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3) Here, you have to multiply numerator and denominator by (square root of 2 - square root of 3).

### Square root in denominator?

I will use "root" as a symbol for square root. I assume you want to get rid of the square root in the denominator; this will usually bring some square root into the numerator. If you have the square root by itself, or as a factor, multiply numerator and denominator by this square root. Example: 3 / root(2) = 3 x root(2) / root(2) x root(2) = 3 x root(2) / 2. If the square…

### Is the square root of 3 rational?

No, the square root of 3 is not rational. No. The square root of 3 is irrational. More generally: if p is a prime number then the square root of p is irrational and the proof of this fact mimics the famous proof of irrationality of the square root of 2. No - the square root of 3 is not rational, but the proof is too involved to post here.

### What is the square root 3 plus square root 6 over square root 2?

Because questions can't use punctuation the question is ambiguous. Two possible interpretations of the question, with answers are given below: sqrt(3) + sqrt(6) / sqrt(2) = sqrt(3) + sqrt(6/2) = sqrt(3) + sqrt(3) = 2*sqrt(3) The more likely question is: [sqrt(3) + sqrt(6)]/sqrt(2) Multiply numberator and denominator by sqrt(2) to give [sqrt(2)*sqrt(3) + sqrt(2)*sqrt(6)]/[sqrt(2)*sqrt(2)] =[sqrt(2)*sqrt(3) + 2*sqrt(3)]/2 since sqrt(2)*sqrt(2) = 2 = sqrt(3)*[sqrt(2)+1]/2 Answer Square root three plus square root six is square root 9…

### What is th square root of 18?

The square root of 18 is the same as the square root of (9 x 2) Since 9 is a perfect square, we know the square root of 9 is 3 so you take the 3 and bring it outside the square root sign. 3 x the square root of 2 Some teachers want you to leave it like that but if they want a decimal answer you need to use a calculator. The answer…

### How do you simplify the square root of 288?

288=2*2*2*2*3*3*2 The square root of 288 is 12 times the sqr of 2 Explanation: 288 is broken down to it's factors 2x144 = 288 There is no need to break the 144 down to it's factors, because you can instantly see that the square root of 144 = 12 Therefore the answer is the square root of 2 times the square root of 144 which becomes 12 times the square root of 2, which is…

### Is the square root of 5 an integer?

no. No. The square root of 5 is an irrational number. The two closest numbers with integer square roots are 4 (with a square root of 2) and 9 (with a square root of 3). Since there are no integers between 2 and 3 and 5 lies between 4 and 9, it's pretty evident that it can't have an integer square root.