correct, another question, how is 2*square root of 5 equal to the square root of 20?

The equation \( 2\sqrt{5} = \sqrt{20} \) is correct, and it can be understood by manipulating the square root expressions algebraically.

### Step-by-step explanation:

1. **Start with the right-hand side,** \( \sqrt{20} \):
   \[
   \sqrt{20} = \sqrt{4 \times 5}
   \]
   You can split the square root of a product into the product of square roots:
   \[
   \sqrt{20} = \sqrt{4} \times \sqrt{5}
   \]

2. **Simplify \( \sqrt{4} \):**
   \[
   \sqrt{4} = 2
   \]
   So,
   \[
   \sqrt{20} = 2 \times \sqrt{5}
   \]

3. **Now you have:**
   \[
   \sqrt{20} = 2\sqrt{5}
   \]

Thus, \( 2\sqrt{5} = \sqrt{20} \) is true because both sides are equivalent expressions.

Would you like more details or have any questions?

Here are 5 related questions for deeper understanding:
1. What is the square root of 45 in simplified form?
2. Can you explain how \( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \) works for any positive numbers \(a\) and \(b\)?
3. How would you express \( 3\sqrt{7} \) as a square root of a single number?
4. How can you add or subtract square root terms like \( 2\sqrt{3} + 3\sqrt{3} \)?
5. What is the square root of a fraction like \( \sqrt{\frac{25}{49}} \)?

**Tip:** Whenever simplifying square roots, try factoring the number into perfect squares to make the calculation easier!

How is 2 * square root of 5 equal to the square root of 20?

Learn how to simplify the expression 2√5 and understand why it equals √20 through a step-by-step breakdown. This explanation covers key algebraic concepts and the product property of square roots, making it ideal for students in Grades 8-10.

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