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

Modulus of Complex Number: The modulus 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 7 - i, where the real part is 7 and the imaginary part is -1. Calculation: |7 - i| = √(7^2 + (-1)^2) = √(49 + 1) = √50Calculation of Modulus: The square root of 50 can be simplified by factoring out the square root of a perfect square that is a factor of 50. The largest perfect square factor of 50 is 25. Calculation: √50 = √(25 * 2) = √25 * √2 = 5√2

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

|7-i|=

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

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Algebra 1

Transformations of absolute value functions: translations and reflections

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Q. What is the modulus (absolute value) of

7-i

\newline

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

\newline

|7-i|=

Modulus of Complex Number: The modulus 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 $7 - i$ , where the real part is $7$ and the imaginary part is $-1$ . $\newline$ Calculation: $|7 - i| = \sqrt{7^2 + (-1)^2} = \sqrt{49 + 1} = \sqrt{50}$
Calculation of Modulus: The square root of $50$ can be simplified by factoring out the square root of a perfect square that is a factor of $50$ . The largest perfect square factor of $50$ is $25$ . $\newline$ Calculation: $\sqrt{50} = \sqrt{(25 \times 2)} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}$