An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-5y^6}{2y^2} \)
\( \frac{-5}{2} \) y^{(6 - 2)}
-2\(\frac{1}{2}\)y⁴

First, solve for \( \left|y + 3\right| \):

\( \left|y + 3\right| \) - 5 = 3
\( \left|y + 3\right| \) = 3 + 5
\( \left|y + 3\right| \) = 8

The value inside the absolute value brackets can be either positive or negative so (y + 3) must equal + 8 or -8 for \( \left|y + 3\right| \) to equal 8:

So, y = -11 or y = 5.

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

4\( \sqrt{32} \) + 9\( \sqrt{2} \)
4\( \sqrt{16 \times 2} \) + 9\( \sqrt{2} \)
4\( \sqrt{4^2 \times 2} \) + 9\( \sqrt{2} \)
(4)(4)\( \sqrt{2} \) + 9\( \sqrt{2} \)
16\( \sqrt{2} \) + 9\( \sqrt{2} \)

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