What is the modulus (absolute value) of -24-7i ? Don't round. If necessary, express your answer as a radical. |-24-7i|=

Calculate Modulus of Complex Number: The modulus (absolute value) of a complex number a + bi is given by the square root of the sum of the squares of its real part a and its imaginary part b. In this case, the complex number is -24 - 7i, so we need to calculate the square root of (-24)^2 + (-7)^2.Square the Real Part: First, we square the real part, which is -24. (-24)^2 equals 576.Square the Imaginary Part: Next, we square the imaginary part, which is -7. (-7)^2 equals 49.Add Squares of Real and Imaginary Parts: Now, we add the squares of the real and imaginary parts together: 576 + 49 equals 625.Take Square Root of Sum: Finally, we take the square root of the sum to find the modulus: sqrt(625) equals 25.

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What is the modulus (absolute value) of
-24-7i ?
Don't round. If necessary, express your answer as a radical.

|-24-7i|=

What is the modulus (absolute value) of $-24-7 i$ ? $\newline$ Don't round. If necessary, express your answer as a radical. $\newline$ $|-24-7 i|=$

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Algebra 2

Absolute values of complex numbers

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Q. What is the modulus (absolute value) of

-24-7 i

\newline

Don't round. If necessary, express your answer as a radical.

\newline

|-24-7 i|=

Calculate Modulus of Complex Number: The modulus (absolute value) of a complex number $a + bi$ is given by the square root of the sum of the squares of its real part $a$ and its imaginary part $b$ . In this case, the complex number is $-24 - 7i$ , so we need to calculate the square root of $(-24)^2 + (-7)^2$ .
Square the Real Part: First, we square the real part, which is $-24$ . $(-24)^2$ equals $576$ .
Square the Imaginary Part: Next, we square the imaginary part, which is $-7$ . $(-7)^2$ equals $49$ .
Add Squares of Real and Imaginary Parts: Now, we add the squares of the real and imaginary parts together: $576 + 49$ equals $625$ .
Take Square Root of Sum: Finally, we take the square root of the sum to find the modulus: $\sqrt{625}$ equals $25$ .