The square root of 78 is approximately:

\[
\sqrt{78} \approx 8.8318
\]

It is an irrational number, so the decimal representation goes on infinitely without repeating. Do you need further details on how to estimate this value or its applications?

Here are 5 related questions:
1. How do you calculate square roots manually?
2. What are perfect squares, and how are they related to non-perfect squares like 78?
3. What is the significance of irrational numbers in mathematics?
4. Can square roots be simplified if the number is not a perfect square?
5. How do you use square roots in solving quadratic equations?

**Tip:** Square roots are often simplified by breaking numbers into their prime factors!

Learn how to calculate the square root of 78, an irrational number, and understand the properties of square roots and irrational numbers. This detailed explanation is perfect for students in Grades 6-8 who want to deepen their understanding of non-perfect squares and irrational numbers.

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