https://file.aiquickdraw.com/mathbot/file/1728711889290prw19fmu.jpg

The expression shown in the image is:

\[
\sqrt{15612} + \sqrt{154} + \sqrt{225}
\]

Let's solve each square root step-by-step:

1. \(\sqrt{15612} \approx 124.99\) (approximate value)
2. \(\sqrt{154} \approx 12.41\) (approximate value)
3. \(\sqrt{225} = 15\) (exact value)

Now, adding these values together:

\[
124.99 + 12.41 + 15 = 152.4
\]

Thus, the value of the expression is approximately **152.4**.

Would you like more details, or have any questions about the steps?

Here are 5 related questions you might be interested in:
1. What is the difference between approximate and exact values in square roots?
2. How do you estimate square roots for non-perfect squares?
3. What are the properties of square roots that can help simplify such expressions?
4. How does this expression change if one of the values is squared instead of rooted?
5. Can irrational numbers like \(\sqrt{154}\) be simplified further?

**Tip**: For faster calculations, remember that square roots of perfect squares (like 225) can be computed exactly without approximation.

What is the value of the expression: √15612 + √154 + √225?

Learn how to evaluate the expression √15612 + √154 + √225 by approximating the square roots of non-perfect squares and adding rational and irrational numbers. This problem covers key mathematical concepts like square roots and is suitable for students in Grades 8-10.

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