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

7\( \sqrt{50} \) - 4\( \sqrt{2} \)
7\( \sqrt{25 \times 2} \) - 4\( \sqrt{2} \)
7\( \sqrt{5^2 \times 2} \) - 4\( \sqrt{2} \)
(7)(5)\( \sqrt{2} \) - 4\( \sqrt{2} \)
35\( \sqrt{2} \) - 4\( \sqrt{2} \)

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

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{14\sqrt{4}}{7\sqrt{2}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{4}{2}} \)
2 \( \sqrt{2} \)

The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 16 are [1, 2, 4, 8, 16]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 80 and 16 have in common.

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.