What is the square root of 12?
The square root of 12 is approximately 3.464.
Can u simplify that?
The square root of 12 is not a simple whole number. It can be expressed as √12 or 2√3 in radical form.
What is 3.464 simplified
3.464 can be rounded to the nearest hundredth as 3.46.
To find the square root of 12, you can use a calculator or carry out a manual calculation using a method called estimation.
If you want to estimate the square root manually, you can start by recognizing that 12 is between the perfect squares 9 (3^2) and 16 (4^2). Therefore, the square root of 12 is approximately between 3 and 4.
To get a more accurate estimate, you can use the method of averaging. Start by taking an initial estimate, let's say 3.5, and divide 12 by 3.5 to get 3.428571.... Next, average the initial estimate (3.5) with this result, giving us (3.5 + 3.428571...) / 2 ≈ 3.4642857...
Repeat this process by dividing 12 by the latest result and averaging it with the previous result until you reach the desired level of accuracy. Continue doing this until you have a sufficient number of decimal places.
Using this method, you will find that the square root of 12 is approximately 3.464.
Alternatively, you can also use a calculator to get the exact square root of 12, which is approximately 3.46410161514.