phinah 03 Aug 2017, 19:33
In section 2 the part on dividing complex numbers, it is written that the numerator and denominator are multiplied by the conjugate so that
"we would be left with no radical (square root) in the denominator. Dividing with complex numbers is similar."
Does that mean that we divide by the conjugate so that no complex number will be left in the denominator?
Thank you.
2. Basic Operations in Complex Numbers
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In section 2 the part on dividing complex numbers, it is written that the numerator and denominator are multiplied by the conjugate so that "we would be left with no radical (square root) in the denominator. Dividing with complex numbers is similar." Does that mean that we divide by the conjugate so that no complex number will be left in the denominator? Thank you.
Relevant page <a href="/complex-numbers/2-basic-operations.php">2. Basic Operations in Complex Numbers</a> What I've done so far
Murray 06 Aug 2017, 05:08
Hello Phinah. Not exactly (but I can understand why you took that meaning from it).
I revised that part just now on that page. I hope it makes more sense now.
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Hello Phinah. Not exactly (but I can understand why you took that meaning from it). I revised that part just now on that page. I hope it makes more sense now.
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Okay. I read it. Thank you.
jyudeas 30 Nov 2022, 02:59
Re: cookie clicker
I just now updated the section on that page. Now, perhaps, it all makes sense.
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Re: <a href="https://cookieclickercity.com">cookie clicker</a> I just now updated the section on that page. Now, perhaps, it all makes sense.
usoperating 13 Nov 2025, 01:53
Re: ragdoll hit
Yes, that’s exactly right! When dividing complex numbers, we multiply both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part (the “complex” component) from the denominator. This process leaves a real number in the denominator, which makes the expression simpler and easier to work with — similar to how we remove radicals in regular fractions.
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Re: <a href="https://ragdollhitstickman.io/">ragdoll hit</a> Yes, that’s exactly right! When dividing complex numbers, we multiply both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part (the “complex” component) from the denominator. This process leaves a real number in the denominator, which makes the expression simpler and easier to work with — similar to how we remove radicals in regular fractions.
operatefoot 14 Dec 2025, 22:41
@melon playground Just like multiplying by a conjugate when you have a square root in the denominator (to “rationalize” it), multiplying by the complex conjugate “real‑izes” the denominator.
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@<a href="https://melonplayground.io">melon playground</a> Just like multiplying by a conjugate when you have a square root in the denominator (to “rationalize” it), multiplying by the complex conjugate “real‑izes” the denominator.
danieleverett 15 Dec 2025, 23:01
Hello Phinah and Murray, it's interesting to see the discussion on dividing complex numbers by multiplying with the conjugate to eliminate radicals. Murray's clarification adds depth to the concept. It's crucial to understand how this technique simplifies computations and avoids complex numbers in the denominator. Have you encountered other methods for handling complex number division efficiently? eggy car
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Hello Phinah and Murray, it's interesting to see the discussion on dividing complex numbers by multiplying with the conjugate to eliminate radicals. Murray's clarification adds depth to the concept. It's crucial to understand how this technique simplifies computations and avoids complex numbers in the denominator. Have you encountered other methods for handling complex number division efficiently? <a href="https://eggycar-game.io/">eggy car</a>
danieleverett 15 Dec 2025, 23:01
Hello Phinah and Murray, it's interesting to see the discussion on dividing complex numbers by multiplying with the conjugate to eliminate radicals. Murray's clarification adds depth to the concept. It's crucial to understand how this technique simplifies computations and avoids complex numbers in the denominator. Have you encountered other methods for handling complex number division efficiently? eggy car
X
Hello Phinah and Murray, it's interesting to see the discussion on dividing complex numbers by multiplying with the conjugate to eliminate radicals. Murray's clarification adds depth to the concept. It's crucial to understand how this technique simplifies computations and avoids complex numbers in the denominator. Have you encountered other methods for handling complex number division efficiently? <a href="https://eggycar-game.io/">eggy car</a>
aviorsurmoun 17 Dec 2025, 22:00
Hi Phinah, Murray's clarification on dividing complex numbers with conjugates is insightful. It's about eliminating radicals, not just complex numbers. Have you tried applying this method in your calculations? It can simplify the Slice Master process significantly.
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Hi Phinah, Murray's clarification on dividing complex numbers with conjugates is insightful. It's about eliminating radicals, not just complex numbers. Have you tried applying this method in your calculations? It can simplify the <a href="https://slice-master.co">Slice Master</a> process significantly.
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