{"id":217917,"date":"2025-04-16T04:36:21","date_gmt":"2025-04-16T04:36:21","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-is-the-absolute-value-of-9-12i\/"},"modified":"2025-04-16T04:36:21","modified_gmt":"2025-04-16T04:36:21","slug":"what-is-the-absolute-value-of-9-12i","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-is-the-absolute-value-of-9-12i\/","title":{"rendered":"What is the absolute value of 9 12i?"},"content":{"rendered":"

What is the absolute value of 9 + 12i?<\/p>\n

The absolute value of a complex number is a measure of its distance from the origin on the complex plane. To find the absolute value of 9 + 12i, we need to calculate the length of the vector formed by this complex number. We can do this by using the Pythagorean theorem.<\/p>\n

The Pythagorean theorem states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides. In the case of a complex number, we can consider the real part (9) as the length of one side and the imaginary part (12) as the length of the other side.<\/p>\n

By applying the formula and simplifying, we can find the absolute value:<\/p>\n

Absolute value = \u221a(Real part^2 + Imaginary part^2)
\n = \u221a(9^2 + 12^2)
\n = \u221a(81 + 144)
\n = \u221a(225)
\n = 15<\/p>\n

**Therefore, the absolute value of 9 + 12i is 15.**<\/p>\n

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