7 + sqrt(-121) =>
7 + sqrt( -1 X 121) =>
7 + sqrt(-1) X sqrt(121) =>
7 + sqrt(-1) *+/-11 = >
7 +/= 11sqrt(-1)
The sqrt(-1) is designated the letter 'i' ( small /lower case 'i').
Hence
7 +/- 11i
NB If you can find the 'square root of '-1'' , then the mathemtical world. would like to hear from you.
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Yes, the square root of 1 is 1.
The square root of -121 is imaginary. It has value of i11.It is not rational, irrational, nor real. The coefficient of i, 11, is real and rational, but the result of multiplying i by 11 is imaginary.Now, The Coefficient of (i11) is a complex number, because when dealing with i, the true form is the square root of -1, and so this also means that you still have 2 answers, positive and negative i11, and so the square root of -121 is imaginary, or complex rational number. But, because it is complex, it is not truly rational, all this means is that you end up with aninteger in your complex answer. So, To answer your question, the answer is non of the above, just imaginary. and the value is plus or minus (i11).
A positive real number, such as 17, has two square roots. One is the one your calculator gives you, if you use the square root function. The other is the same number, with a minus sign in front. None of these has an imaginary part. There are no additional complex roots that have a non-zero imaginary part.
"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.
An irrational number, an imaginary number, a complex number, a quaternion.