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.
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.
The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)
The square root of 1500 is 38.7298335
The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.
Yes, the square root of 1 is 1.
This is best done if the complex number is in polar coordinates - that is, a distance from the origin, and an angle. Take the square root of the argument (the absolute value) of the complex number; and half the angle.
The square root of a negative value is called an imaginary number.
i is the symbol for an imaginary number, a complex number with the property i2=-1. The square root of a negative number is the square root times i. For example, the square root of -9 = 3i.
you cant take the square root of a negative number
The square root of i=(i)^.5 = .707+.707i
I am not sure what you want to calculate; anyway, the square root of a negative number is a complex number: in this case, "i" multiplied by the square root of 7. The remaining calculations will also result in complex numbers. When you calculate points, you usually want a real number, not a complex number.
The square root of (any number that isn't a perfect square) is irrational.
The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12.