Simplify the expression completely. -sqrt100-4sqrt(-9)-sqrt(-16) Answer:

Question Prompt: Question prompt: Simplify the expression completely.Simplify Square Root of 100: Simplify the square root of 100. The square root of 100 is 10, because 10^2 = 100. So, -sqrt(100) = -10.Simplify Square Root of -9: Simplify the square root of -9. The square root of -9 involves an imaginary number because the square root of a negative number is not real. The square root of 9 is 3, so the square root of -9 is 3i, where i is the imaginary unit. So, -4sqrt(-9) = -4 * 3i = -12i.Simplify Square Root of -16: Simplify the square root of -16. Similarly, the square root of -16 involves an imaginary number. The square root of 16 is 4, so the square root of -16 is 4i. So, -sqrt(-16) = -4i.Combine Simplified Terms: Combine all the simplified terms. Combine -10, -12i, and -4i. The expression becomes -10 - 12i - 4i.Combine Imaginary Terms: Combine the imaginary terms. Combine -12i and -4i to get -16i. So, the expression now is -10 - 16i.

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Q. Simplify the expression completely.

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-\sqrt{100}-4 \sqrt{-9}-\sqrt{-16}

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Answer:

Question Prompt: Question prompt: Simplify the expression completely.
Simplify Square Root of $100$ : Simplify the square root of $100$ . The square root of $100$ is $10$ , because $10^2 = 100$ . So, $-\sqrt{100} = -10$ .
Simplify Square Root of $-9$ : Simplify the square root of $-9$ . The square root of $-9$ involves an imaginary number because the square root of a negative number is not real. The square root of $9$ is $3$ , so the square root of $-9$ is $3i$ , where $i$ is the imaginary unit. So, $-4\sqrt{-9} = -4 \times 3i = -12i$ .
Simplify Square Root of $-16$ : Simplify the square root of $-16$ . Similarly, the square root of $-16$ involves an imaginary number. The square root of $16$ is $4$ , so the square root of $-16$ is $4i$ . So, $-\sqrt{-16} = -4i$ .
Combine Simplified Terms: Combine all the simplified terms. $\newline$ Combine $-10$ , $-12i$ , and $-4i$ . $\newline$ The expression becomes $-10 - 12i - 4i$ .
Combine Imaginary Terms: Combine the imaginary terms. $\newline$ Combine $-12i$ and $-4i$ to get $-16i$ . $\newline$ So, the expression now is $-10 - 16i$ .