The greatest common factor (GCF) is the greatest factor that divides two integers.

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0009236 in scientific notation is 9.236 x 10^-4

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 12 people needing transportation leaving 12 - 9 = 3 who will have to find other transportation.

To subtract these radicals together their radicands must be the same:

6\( \sqrt{50} \) - 5\( \sqrt{2} \)
6\( \sqrt{25 \times 2} \) - 5\( \sqrt{2} \)
6\( \sqrt{5^2 \times 2} \) - 5\( \sqrt{2} \)
(6)(5)\( \sqrt{2} \) - 5\( \sqrt{2} \)
30\( \sqrt{2} \) - 5\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them: