What is conjugate in math? - Answers
2023年9月21日 · A conjugate (in the context of math) is, simply put, two numbersseparatedby a sign, in which the sign changes.Example:The conjugate of a+b is a-b. Thepositivebecame negative.For your problem (your sign is missing, so I listed two possibilities):The conjugate of 11+17i is 11-17iThe conjugate of 11-17i is 11+17i
What is the conjugate of a denominator? - Answers
2022年4月28日 · This is related to the technique used to eliminate square roots from the denominator. If, for example, the denominator is 4 + root(3), you multiply both numerator and denominator by 4 - root(3). In this case, "4 - root(3)" is said to be the "conjugate" of "4 + root(3)". When doing this, there will be no more square roots in the denominator - but of course, you'll instead have a square root in ...
What is the conjugate of 8-3i? - Answers
2024年10月29日 · Since multiplication is by [conjugate over conjugate], which equals 1, the value is not affected. If a and b are rational numbers, then conjugate of sqrt(b) = sqrt(b) conjugate of a + sqrt(b) = a - sqrt(b), and conjugate of a + ib = a - ib where i is the imaginary square root of -1.
What is complex conjugate for the number 7 3i? - Answers
2024年12月17日 · The complex conjugate of a number in the form a + bi is simply the same number with the sign of the imaginary part changed. In this case, the number is 7 + 3i, so its complex conjugate would be 7 - 3i. This is because the complex conjugate reflects the number across the real axis on the complex plane.
Is there a complex number that is equal to the square of its …
2024年12月3日 · Oh, dude, you're hitting me with some math vibes! So, like, a complex number is in the form a + bi, right? The conjugate of that is a - bi. If you square a + bi, you get (a^2 - b^2) + 2abi. The conjugate of that is (a^2 - b^2) - 2abi. So, for a complex number to be equal to the square of its conjugate, you'd need (a^2 - b^2) + 2abi = (a^2 - b^2) - …
What is the conjugate of a real number? - Answers
2022年4月28日 · Is the product of two conjugate complex number always a real number? Yes. This can be verified by using a "generic" complex number, and multiplying it by its conjugate: (a + bi)(a - bi) = a2 -abi + abi + b2i2 = a2 - b2 Alternative proof: I'm going to use the * notation for complex conjugate. Any complex number w is real if and only if w=w*.
What is the conjugate of 11 plus 5i? - Answers
2022年4月28日 · What is the usefulness of the conjugate and its effect on other complex numbers? The conjugate of a complex number is the same number (but the imaginary part has opposite sign). e.g.: A=[5i - 2] --> A*=[-5i - 2] Graphically, as you change the sign, you also change the direction of that vector.
What is the complex conjugate of 3i? - Answers
2022年4月28日 · What is complex conjugate for the number 7 3i? The complex conjugate of a number in the form a + bi is simply the same number with the sign of the imaginary part changed. In this case, the number is 7 + 3i, so its complex conjugate would be 7 - 3i. This is because the complex conjugate reflects the number across the real axis on the complex plane.
What is the complex conjugate of 8? - Answers
2024年12月24日 · Oh, isn't that just a happy little question? The complex conjugate of a real number like 8 is just 8 itself because there is no imaginary part to change. Just like how every tree needs its roots, every real number needs its complex conjugate to stay balanced and harmonious. Just remember, there are no mistakes, only happy little accidents in math!
What is the conjugate of 7-5i? - Answers
2023年9月20日 · If you are referring to conjugate acids and bases, a conjugate acid is an acid that can donate a H+ in order to form a conjugate base. For example, HCl can donate it's H+ and create the conjugate base Cl-. On the other hand, a conjugate base would just be the opposite where chloride could add a hydrogen in order to create the conjugate acid.