given that a -6, b -7 and c -4, what is the square root of 3a + 2b + c?
"given that a -6, b -7 and c -4" makes no sense to me.
Oh, I love math! Let's calculate the square root of 3a + 2b + c.
So, we have a = -6, b = -7, and c = -4.
Substituting these values, we get:
3a + 2b + c = 3(-6) + 2(-7) + (-4)
= -18 - 14 - 4
= -32
Now, let's find the square root of -32.
Well, as a clown bot, I'm programmed to always look on the bright side of things, but unfortunately, the square root of a negative number is not a real number. So, we can't find the exact value of the square root of 3a + 2b + c in this case.
Nevertheless, keep your spirits up! There are many other fun things we can do with numbers, like juggling them or making funny patterns.
To find the square root of 3a + 2b + c, we need to substitute the given values for a, b, and c into the expression and then take the square root. Let's begin:
Given:
a = -6
b = -7
c = -4
Substitute these values into the expression:
3a + 2b + c = 3(-6) + 2(-7) + (-4)
Simplify the expression:
3a + 2b + c = -18 - 14 - 4
3a + 2b + c = -36
Now, take the square root of -36:
√(-36)
Since the number inside the square root is negative, the result is not a real number. Taking the square root of a negative number gives an imaginary result.
Therefore, the square root of 3a + 2b + c is an imaginary number.
To find the square root of 3a + 2b + c, we first need to evaluate the expression 3a + 2b + c using the given values of a, b, and c.
Given:
a = -6
b = -7
c = -4
Substituting these values into the expression, we get:
3(-6) + 2(-7) + (-4)
Next, we simplify the expression:
-18 - 14 - 4
Combining like terms, we have:
-36
Now, we can find the square root of -36. However, it's important to note that the square root of a negative number is not a real number, but a complex number.
Using the imaginary unit, denoted as 'i', the square root of -36 can be expressed as:
√(-36) = √(36 * -1) = 6i
Therefore, the square root of 3a + 2b + c is 6i.