Simplify the expression to a, plus, b, i*a*+*bi* form:

minus, square root of, 49, end square root, minus, square root of, minus, 36, end square root, plus, square root of, 9, end square root, minus, square root of, minus, 100, end square root

−49​−−36​+9​−−100​

It looks like there's a math domain error, which happens because we cannot directly compute the square root of a negative number using real numbers. However, we can express the square roots of negative numbers using imaginary numbers.

To proceed:

- \( \sqrt{49} = 7 \)
- \( \sqrt{-36} = 6i \) (since \( \sqrt{36} = 6 \) and we introduce \(i\))
- \( \sqrt{9} = 3 \)
- \( \sqrt{-100} = 10i \) (since \( \sqrt{100} = 10 \))

Now, we can rewrite the expression as:

\[
-7 - 6i + 3 - 10i
\]

Combining the real and imaginary parts:

\[
(-7 + 3) + (-6i - 10i) = -4 - 16i
\]

Thus, the simplified form is \( -4 - 16i \).

Would you like more details or further explanation?

Here are 5 related questions to consider:
1. How do imaginary numbers work?
2. What are complex numbers?
3. How do you multiply complex numbers?
4. Can you solve quadratic equations with complex solutions?
5. How can complex numbers be represented on a graph?

**Tip**: Imaginary numbers are useful in engineering and physics, especially for solving equations involving wave functions or oscillations.

Simplify the expression to a + bi form: −√49 − √−36 + √9 − √−100

Simplify the expression −√49 − √−36 + √9 − √−100 into a + bi form. Learn how to work with complex numbers, including square roots of negative numbers and combining real and imaginary parts. Suitable for students in Grades 10-12.

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