Answer :

To solve the expression [tex]\(12 \sqrt{17} - 8 \sqrt{17}\)[/tex], you can think of it like a simple arithmetic operation involving like terms. Here's how you can do it step-by-step:

1. Identify the Common Term:
The expression [tex]\(12 \sqrt{17} - 8 \sqrt{17}\)[/tex] involves the same square root, [tex]\(\sqrt{17}\)[/tex].

2. Collect Like Terms:
You can factor out the common [tex]\(\sqrt{17}\)[/tex] term from both parts of the expression. This gives you:
[tex]\[
(12 - 8) \sqrt{17}
\][/tex]

3. Perform the Subtraction:
Subtract the coefficients:
[tex]\[
12 - 8 = 4
\][/tex]

4. Multiply by the Common Term:
The result is:
[tex]\[
4 \sqrt{17}
\][/tex]

So, the simplified result of [tex]\(12 \sqrt{17} - 8 \sqrt{17}\)[/tex] is [tex]\(4 \sqrt{17}\)[/tex].

This is the algebraic form of the solution. If you were to calculate it numerically, multiplying 4 by the approximate value of [tex]\(\sqrt{17}\)[/tex] (which is about 4.1231) would give you approximately 16.49. This confirms the correctness of the solution.

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Rewritten by : Barada