9-5i
The conjugate is 7-5i
That 5 is a factor.
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
Yes it is. All pure imaginary numbers (such as 5i) as well as all real numbers and any combination of real & imaginary (by adding, subtractin, multiplying, dividing) makes a complex number.
The square roots of -75 are [ +5i sqrt(3) ] and [ -5i sqrt(3) ]. Both of them are irrational and imaginary.
9-5i
9x2 + 25 has no rational factors. Its factorisation in the complex domain is:(3x + 5i)*(3x - 5i) where i is the imaginary square root of -1.
The conjugate is 7-5i
The sqrt of 25 = 5 which can be written as a recurring decimal. Therefore no, it is not irrational, it is rational.
The standard form of a complex number is a+bi. So the standard form of the negative square root of 5i is 0-√(5i).
1/(3+5i)=(3-5i)/((3+5i)(3-5i))=(3-5i)/(9+25)=(3-5i)/34
The square root of -25 is not a real number, as it involves taking the square root of a negative number which results in an imaginary number. In this case, the square root of -25 is 5i, where i represents the imaginary unit. Since rational numbers are a subset of real numbers, the square root of -25, being an imaginary number, is not a rational number.
In the number: 5i, 5 is called the coefficient of i.
0 + 5i Its complex conjugate is 0 - 5i
That 5 is a factor.
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.