The answer is b because are congruent
Answer:
![2+i](https://tex.z-dn.net/?f=2%2Bi)
Step-by-step explanation:
Given the expression:
![\dfrac{4+\sqrt{16-(4)(5)}}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2B%5Csqrt%7B16-%284%29%285%29%7D%7D%7B2%7D)
To find:
The expression of above complex number in standard form
.
Solution:
First of all, learn the concept of
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by
.
Value of
.
Now, let us consider the given expression:
![\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2B%5Csqrt%7B16-%284%29%285%29%7D%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B%5Csqrt%7B16-%284%5Ctimes%205%29%7D%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B%5Csqrt%7B16-20%7D%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B%5Csqrt%7B-4%7D%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B%5Csqrt%7B%28-1%29%284%29%7D%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B%5Csqrt%7B%28-1%29%7D%5Csqrt4%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B%5Csqrt4i%7D%7B2%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%28%5Cbecause%20%5Csqrt%7B-1%7D%20%3Di%29%20%5C%5C%5CRightarrow%20%5Cdfrac%7B4%2B2i%7D%7B2%7D%5C%5C%5CRightarrow%202%2Bi)
So, the given expression in standard form is
.
Let us compare with standard form
so we get
.
The standard form of
![\dfrac{4+\sqrt{16-(4)(5)}}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2B%5Csqrt%7B16-%284%29%285%29%7D%7D%7B2%7D)
is: ![\bold{2+i}](https://tex.z-dn.net/?f=%5Cbold%7B2%2Bi%7D)
Answer:
0.0000625
Step-by-step explanation:
![10^{-5}=0.00001](https://tex.z-dn.net/?f=10%5E%7B-5%7D%3D0.00001)
![6.25*10^{-5}=6.25*0.00001=0.0000625](https://tex.z-dn.net/?f=6.25%2A10%5E%7B-5%7D%3D6.25%2A0.00001%3D0.0000625)
A, perhaps,plz check the definition of functions
I think the correct one is C. 130