https://file.aiquickdraw.com/mathbot/file/1727334740460fr3oy7l1.jpg

The problem shown in your image is: "Calculate the result of \( \sqrt{40} \div \sqrt{2} \times 2\sqrt{5} \)."

Let's simplify this expression step-by-step:

1. Simplify \( \sqrt{40} \div \sqrt{2} \):
\[ \sqrt{40} \div \sqrt{2} = \sqrt{\frac{40}{2}} = \sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5} \]

2. Now multiply the result by \( 2\sqrt{5} \):
\[ 2\sqrt{5} \times 2\sqrt{5} = 4 \times 5 = 20 \]

Thus, the result is \( 20 \), which does not match any of the options given in the screenshot. It seems there might be a typographical error in the provided options or the problem statement. Let's re-check the calculation to make sure the process was done correctly:

\[ \sqrt{40} = 2\sqrt{10} \]
\[ \sqrt{2} = \sqrt{2} \]
\[ 2\sqrt{5} = 2\sqrt{5} \]

Now, simplifying \( 2\sqrt{10} \div \sqrt{2} \times 2\sqrt{5} \):

\[ 2\sqrt{10} \div \sqrt{2} = 2 \times \sqrt{\frac{10}{2}} = 2 \times \sqrt{5} \]
\[ (2 \times \sqrt{5}) \times (2 \times \sqrt{5}) = 4 \times 5 = 20 \]

The computation confirms the result as \( 20 \). Please let me know if you need further assistance or any clarification on this calculation. Here are some questions to consider:
1. Would you like to solve more problems involving square roots?
2. Are you interested in understanding why we simplify square roots the way we do?
3. Do you need examples of how to simplify different types of square roots?
4. Would you like to learn other mathematical operations involving square roots?
5. Can I help you with any other mathematical topics today?

**Tip**: When simplifying square roots, remember to factor the number under the square root to simplify your calculations effectively.

Hasil dari 3√40 : √2 x 2√5 adalah ....

Solve the expression √40 ÷ √2 × 2√5 by simplifying radicals. This step-by-step explanation covers essential concepts such as simplifying square roots and applying multiplication and division rules of radicals. Suitable for students in Grades 7-9.

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