The problem in the image is written as follows:

Hasil dari ( 3 \sqrt{40} \div \left( \sqrt{2} \times 2\sqrt{5} \right) adalah ....

We need to simplify this expression step by step:

Step 1: Simplify $\sqrt{40}$

$\sqrt{40} = \sqrt{4 \times 10} = \sqrt{4} \times \sqrt{10} = 2\sqrt{10}$ Thus, the expression becomes: $3 \times 2\sqrt{10} = 6\sqrt{10}$

Step 2: Simplify the denominator

The denominator is $\sqrt{2} \times 2\sqrt{5}$.

First, simplify the multiplication: $\sqrt{2} \times 2\sqrt{5} = 2\sqrt{2 \times 5} = 2\sqrt{10}$

Step 3: Combine the expression

Now the expression is: $\frac{6\sqrt{10}}{2\sqrt{10}}$

Step 4: Simplify the division

Since $\sqrt{10}$ appears in both the numerator and the denominator, they cancel out: $\frac{6\sqrt{10}}{2\sqrt{10}} = \frac{6}{2} = 3$

Conclusion:

The result of the expression is 3, but none of the options seem to match directly with this value. It is possible that an error exists in the question or options. Would you like to go over this or try a different approach?

Feel free to ask for details if needed!

Here are 5 related questions:

1. What are the rules for simplifying square roots?
2. How do we handle multiplication and division with square roots?
3. What happens when the square root appears in both the numerator and denominator?
4. Why does $\sqrt{40}$ simplify to $2\sqrt{10}$?
5. How do we apply distributive properties in expressions involving roots?

Tip: Always simplify square roots before multiplying or dividing them to make calculations easier!