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Let √ 3 − 4 i =x+iy ⇒ 3-4i= x 2-y 2 +2ixy. ⇒ x 2-y 2 =3, 2xy=-4 .....(i) ⇒ (x 2 + y 2) 2 = (x 2 − y 2) 2 +4 x 2 y 2 = (3) 2 + (− 4) 2 =25. ⇒ (x 2 + y 2) 2 =5 .....(ii) From equation (i) and (ii) ⇒ x 2 =4 ⇒ x= ± 2, y 2 =1 ⇒ y= ± 1.Hence the square root of (3-4i) is ± (2-i).
Click here:point_up_2:to get an answer to your question :writing_hand:the square root of 3 4i is
Find the value of `sqrt(-3) xx sqrt(-6)`. Find the square root of: – 16 + 30i. Find the square root of 15 – 8i. Find the square root of : 18i. Find the square root of the following complex number: −8 − 6i. Find the square root of the following complex number: 7 + 24i . Find the square root of the following complex number: `1 + 4sqrt(3)"i"`
Now we check which of these is a solution to the original equation $(a+bi)^2=3-4i$. Taking the squares of the possible solutions: $$(−2+i)^2=3−4i, (−2−i)^2=3+4i, (2+i)^2=3+4i, (2−i)^2=3−4i.$$ So, there are two solutions: −2+i and 2−i.
Jan 4, 2023 · Find the square root of 3-4iClass: 12Subject: MATHSChapter: COMPLEX NUMBERSBoard:USER_ASKEDYou can ask any doubt from class 6-12, JEE, NEET, Teaching, SSC, D...
Enter the radical expression below for which you want to calculate the square root. The square root calculator finds the square root of the given radical expression. If a given number is a perfect square, you will get a final answer in exact form. If a given number is not a perfect square, you will get a final answer in exact form and decimal form.
The complex conjugate of \sqrt3+4i is \sqrt3-4i so we set the polynomial ((x-\sqrt3)+4i))((x-\sqrt3)-4i))=(x-\sqrt3)^2-16i^2=x^2-2\sqrt3x+19=0 Now rearrange the ... More Items. Share. Copy. Copied to clipboard. Re(2+i) Calculate the square root of 3+4i and get 2+i. 2 . The real part of 2+i is 2. 2+i . Calculate the square root of 3+4i and get 2 ...
STEPS to Find Square Root of Complex Number | Find the square root of 3-4i | Nitin Vairal Sir. 🔶 Lecture Chapters 🔶00:00 Intro 00:09 Previous Example Discu...
Find the Quadratic Equation square root of 3 , 4i, Step 1. and are the two real distinct solutions for the quadratic equation, which means that and are the factors of the quadratic equation. ... Step 3.2. Reorder factors in . Step 4. The standard quadratic equation using the given set of solutions is .
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