To subtract 75 from the square root of -45, we first simplify the expression under the square root:
√(-45) = √(-1 * 45) = √(-1) * √(45) = i * √45
Now we have 75 - i * √45.
√(-45) = √(-1 * 45) = √(-1) * √(45) = i * √45
Now we have 75 - i * √45.
√(-45) can be simplified as follows:
Since the square root of a negative number is not a real number, we need to find the square root of the absolute value of the negative number first. The square root of 45 is √45.
Next, we can write the square root of -45 as √(45) * i, where i is the imaginary unit (√-1). This is because the square root of -45 can be represented as the square root of 45 multiplied by the imaginary unit i.
So the expression becomes:
75 - √(45) * i - √
Now, there seems to be an error or a missing value after the last square root symbol (√). It is necessary to have a value or an expression under the square root. Please provide the missing value or check for any error in the given problem.
Starting with √(-45), we know that the square root of a negative number is not defined in the real number system. Therefore, we cannot directly simplify this expression.
Subsequently, this means that the entire expression, 75 - √(-45) - √, is undefined because we cannot subtract or operate on an undefined value.
To subtract 75 from the square root of -45, we first simplify the expression under the square root:
√(-45) = √(-1 * 45) = √(-1) * √(45) = i * √45
Now we have 75 - i * √45.
To correct the steps:
To subtract 75 from the square root of -45, we need to simplify the expression under the square root:
√(-45) is undefined since taking the square root of a negative number is not defined in the real number system.
Therefore, the expression 75 - √(-45) - √ is undefined since we cannot subtract or operate on an undefined value.
The difference is __________
√(-29) = √((-1) * 29) = √(-1) * √(29) = i * √29
Now we have 29 - i * √29 - i * √29.
To simplify further, we can combine the like terms:
29 - i * √29 - i * √29 = 29 - 2i * √29.
Therefore, the difference is 29 - 2i * √29.
(92 - √) - (82 - √)
Simplifying this expression, we have:
92 - 82 - √ - √
The square root terms can be combined:
92 - 82 - 2√
Next, we subtract the numbers:
92 - 82 = 10
Now we have:
10 - 2√
Therefore, the difference in the length of the diagonals is 10 - 2√ centimeters.
√(-45) = √((-1) * 45) = √(-1) * √(45) = i * √45
Now we have:
75 - i * √45 - √
Since there is no specific value provided for the second square root (√), we cannot proceed with the subtraction. Please provide the missing value or clarify the expression further.