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To solve the expression \(-3\sqrt{81} + \sqrt{16}\), we first need to simplify the square roots.

1. \(\sqrt{81}\) is equal to 9 because \(9 \times 9 = 81\).
2. \(\sqrt{16}\) is equal to 4 because \(4 \times 4 = 16\).

Now substitute these values back into the expression:

\[
-3\sqrt{81} + \sqrt{16} = -3 \times 9 + 4
\]

\[
-3 \times 9 = -27
\]

\[
-27 + 4 = -23
\]

Thus, the simplified value of the expression is \(-23\).

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you simplify radicals in general?
2. What are the properties of square roots that can be useful in simplifications?
3. How can we solve an equation involving multiple radicals?
4. Can square roots ever result in negative numbers?
5. How would you simplify the expression if the numbers under the radicals were not perfect squares?

**Tip:** Always check if the number under the radical is a perfect square, as this will allow you to simplify the expression easily.

Learn how to simplify the radical expression -3√81 + √16 with step-by-step guidance. This problem demonstrates how to work with square roots and simplify expressions involving radicals. Suitable for students in Grades 6-8.

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