https://file.aiquickdraw.com/mathbot/file/1728916776778lnce9srr.jpg

The image contains three mathematical problems involving square roots and coefficients. Here’s a breakdown:

1. \( 5 \sqrt{6050} \)
2. \( 3 \sqrt{1624} \)
3. \( 2 \sqrt{291} \)

Let me solve each one:

### 1. \( 5 \sqrt{6050} \)
We approximate the square root:
\[
\sqrt{6050} \approx 77.78
\]
Thus, multiplying by 5:
\[
5 \times 77.78 \approx 388.9
\]

### 2. \( 3 \sqrt{1624} \)
Approximating the square root:
\[
\sqrt{1624} \approx 40.28
\]
Multiplying by 3:
\[
3 \times 40.28 \approx 120.84
\]

### 3. \( 2 \sqrt{291} \)
Approximating the square root:
\[
\sqrt{291} \approx 17.06
\]
Multiplying by 2:
\[
2 \times 17.06 \approx 34.12
\]

### Final Results:
1. \( 5 \sqrt{6050} \approx 388.9 \)
2. \( 3 \sqrt{1624} \approx 120.84 \)
3. \( 2 \sqrt{291} \approx 34.12 \)

Would you like further details or have any questions?

Here are some related questions:
1. What is the method for simplifying square roots of non-perfect squares?
2. How does multiplying coefficients affect square root expressions?
3. Can you always approximate square roots without a calculator?
4. What are some common uses of square roots in real-life scenarios?
5. How would you calculate higher roots like cube roots?

**Tip:** When simplifying square roots of large numbers, try factoring to check for perfect square divisors!

The image contains three mathematical problems involving square roots and coefficients.

Learn how to solve square root problems like 5√6050, 3√1624, and 2√291 with step-by-step approximations. Understand square root properties and multiplication of radicals, suitable for Grades 8-10.

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