https://file.aiquickdraw.com/mathbot/file/1730914612848gm3j2d07.jpg

Let's simplify each expression step-by-step. 

### Expression A:
\[
A = 3\sqrt{8} - \sqrt{32} + \sqrt{72} + 3\sqrt{28}
\]
1. Simplify each term:
   - \(3\sqrt{8} = 3 \times 2\sqrt{2} = 6\sqrt{2}\)
   - \(\sqrt{32} = 4\sqrt{2}\)
   - \(\sqrt{72} = 6\sqrt{2}\)
   - \(3\sqrt{28} = 3 \times 2\sqrt{7} = 6\sqrt{7}\)

2. Substitute and combine like terms:
   \[
   A = 6\sqrt{2} - 4\sqrt{2} + 6\sqrt{2} + 6\sqrt{7} = 8\sqrt{2} + 6\sqrt{7}
   \]

### Expression B:
\[
B = 2\sqrt{80} - \sqrt{45} + \sqrt{20}
\]
1. Simplify each term:
   - \(2\sqrt{80} = 2 \times 4\sqrt{5} = 8\sqrt{5}\)
   - \(\sqrt{45} = 3\sqrt{5}\)
   - \(\sqrt{20} = 2\sqrt{5}\)

2. Substitute and combine like terms:
   \[
   B = 8\sqrt{5} - 3\sqrt{5} + 2\sqrt{5} = 7\sqrt{5}
   \]

### Expression H:
\[
H = \sqrt{36a} + \sqrt{64a} - 2\sqrt{16a}
\]
1. Simplify each term:
   - \(\sqrt{36a} = 6\sqrt{a}\)
   - \(\sqrt{64a} = 8\sqrt{a}\)
   - \(2\sqrt{16a} = 2 \times 4\sqrt{a} = 8\sqrt{a}\)

2. Substitute and combine like terms:
   \[
   H = 6\sqrt{a} + 8\sqrt{a} - 8\sqrt{a} = 6\sqrt{a}
   \]

### Expression G:
\[
G = \sqrt{2\sqrt{45}} - 3\sqrt{20}
\]
1. Simplify each term:
   - \(\sqrt{45} = 3\

Simplify the expressions A, B, H, and G as given in the image.

Learn how to simplify expressions involving square roots, such as 3√8 - √32 + √72 + 3√28, using properties of radicals. This problem is ideal for students in Grades 8-10 and covers key algebraic concepts related to square roots.

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