https://file.aiquickdraw.com/mathbot/file/1729908802231faz5qx4f.jpg

To solve each of these square root problems, let’s go through them step by step:

### a) \( \sqrt{2401} \)
To find the square root of \( 2401 \):
\[
\sqrt{2401} = 49
\]
because \( 49 \times 49 = 2401 \).

### б) \( \sqrt{94864} \)
To find the square root of \( 94864 \):
\[
\sqrt{94864} = 308
\]
since \( 308 \times 308 = 94864 \).

### в) \( \sqrt{259081} \)
To find the square root of \( 259081 \):
\[
\sqrt{259081} = 509
\]
as \( 509 \times 509 = 259081 \).

### г) \( \sqrt{22562500} \)
To find the square root of \( 22562500 \):
\[
\sqrt{22562500} = 4750
\]
because \( 4750 \times 4750 = 22562500 \).

### Summary of Results
- a) \( \sqrt{2401} = 49 \)
- б) \( \sqrt{94864} = 308 \)
- в) \( \sqrt{259081} = 509 \)
- г) \( \sqrt{22562500} = 4750 \)

Would you like further details on how these calculations were performed or have any questions?

#### Follow-up Questions:
1. What are the rules for simplifying square roots?
2. How can you determine if a number is a perfect square?
3. What methods can be used to approximate square roots of large numbers?
4. What is the difference between square roots and cube roots?
5. How can you calculate higher roots, such as the fourth or fifth root?

#### Tip:
If a number ends in 1, 4, 5, 6, or 9, it is more likely to be a perfect square, as these are the possible last digits of squared integers.

Вычислите: √2401, √94864, √259081, √22562500.

Learn how to calculate square roots of numbers such as 2401, 94864, 259081, and 22562500. This solution demonstrates step-by-step calculations, covering core mathematical concepts in square roots and perfect squares, suitable for Grades 6-8.

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