To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{20}{76} \) = \( \frac{\frac{20}{4}}{\frac{76}{4}} \) = \( \frac{5}{19} \)

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

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

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (2 + 5) ÷ 4 x 3 - 2²
P: 3 + (7) ÷ 4 x 3 - 2²
E: 3 + 7 ÷ 4 x 3 - 4
MD: 3 + \( \frac{7}{4} \) x 3 - 4
MD: 3 + \( \frac{21}{4} \) - 4
AS: \( \frac{12}{4} \) + \( \frac{21}{4} \) - 4
AS: \( \frac{33}{4} \) - 4
AS: \( \frac{33 - 16}{4} \)
\( \frac{17}{4} \)
4\(\frac{1}{4}\)

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

6\( \sqrt{45} \) + 2\( \sqrt{5} \)
6\( \sqrt{9 \times 5} \) + 2\( \sqrt{5} \)
6\( \sqrt{3^2 \times 5} \) + 2\( \sqrt{5} \)
(6)(3)\( \sqrt{5} \) + 2\( \sqrt{5} \)
18\( \sqrt{5} \) + 2\( \sqrt{5} \)

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