The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

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

4\( \sqrt{5} \) x 3\( \sqrt{7} \)
(4 x 3)\( \sqrt{5 \times 7} \)
12\( \sqrt{35} \)

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

6\( \sqrt{32} \) + 4\( \sqrt{2} \)
6\( \sqrt{16 \times 2} \) + 4\( \sqrt{2} \)
6\( \sqrt{4^2 \times 2} \) + 4\( \sqrt{2} \)
(6)(4)\( \sqrt{2} \) + 4\( \sqrt{2} \)
24\( \sqrt{2} \) + 4\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).