Simplify 2 √__-19 + 44.
if you meant: 2 √-19 + 44
= 2√19 i + 44
if you meant: 2 √(-19 + 44)
= √25 = 5
if you meant: 2 √__-19 + 44 as is, then it is gibberish
answer
To simplify the expression 2√(-19) + 44, we need to simplify the square root first. Since the number inside the square root is negative, we know that this expression is not a real number. In this case, we can rewrite it using the imaginary unit "i." The square root of -1 is defined as "i", so we can rewrite the expression as:
2√(-1)(19) + 44
Next, we can simplify the expression inside the square root:
2√(i^2 * 19) + 44
Since i^2 = -1, we can rewrite the expression further:
2√(-1 * 19) + 44
2√(-19) + 44
Now, the expression is in the simplified form.
To simplify the expression 2√(__ - 19) + 44, we first need to determine the value inside the square root symbol.
Let's solve for __.
The given expression is 2√(__ - 19) + 44.
To simplify it, we need to isolate the square root term.
First, we subtract 44 from both sides of the equation:
2√(__ - 19) = -44
Next, we divide both sides of the equation by 2 to isolate the square root term:
√(__ - 19) = -22
Now, we square both sides of the equation to eliminate the square root:
(__ - 19) = (-22)^2
(__ - 19) = 484
To solve for __, we add 19 to both sides of the equation:
__ = 484 + 19
__ = 503
Now that we have the value of __, we can substitute it back into the original expression:
2√(503 - 19) + 44
Simplifying further, we have:
2√484 + 44
The square root of 484 is 22, so:
2(22) + 44
Multiplying, we get:
44 + 44
Which equals:
88
Therefore, the simplified expression is 88.