https://file.aiquickdraw.com/mathbot/file/17270116392614h43cqqq.jpg

Let's simplify the given expression. From the image, the expression is:

\[
\frac{1}{2} \sqrt{62} + 2 \sqrt{75} - \sqrt{50} - 3 \sqrt{63}
\]

### Step 1: Simplify the square roots

- \(\sqrt{62}\) does not simplify further since 62 is not a perfect square.
- \(\sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3}\)
- \(\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}\)
- \(\sqrt{63} = \sqrt{9 \times 7} = 3\sqrt{7}\)

Now we substitute these simplified values back into the expression:

\[
\frac{1}{2} \sqrt{62} + 2(5\sqrt{3}) - 5\sqrt{2} - 3(3\sqrt{7})
\]

### Step 2: Multiply the coefficients

\[
\frac{1}{2} \sqrt{62} + 10\sqrt{3} - 5\sqrt{2} - 9\sqrt{7}
\]

### Final Expression:

\[
\frac{1}{2} \sqrt{62} + 10\sqrt{3} - 5\sqrt{2} - 9\sqrt{7}
\]

This is the simplified form of the given expression.

Would you like further details on any specific part of the solution? Here are some related questions:

1. How do you simplify square roots that contain perfect squares?
2. Can all square roots be simplified?
3. How do you factor square roots of non-perfect square numbers?
4. What are some practical applications of simplifying square roots?
5. How do you combine terms involving square roots?

**Tip:** Always look for perfect squares inside a square root to simplify the expression more easily!

Sederhanakan: \frac{1}{2} \sqrt{62} + 2 \sqrt{75} - \sqrt{50} - 3 \sqrt{63}

Learn how to simplify the expression \frac{1}{2} \sqrt{62} + 2 \sqrt{75} - \sqrt{50} - 3 \sqrt{63} by breaking down the square roots. This step-by-step guide explains the product property of square roots and their simplification. Suitable for students in Grades 9-10.

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