Subtract 75–√−4–√5.(1 point)
To subtract the given expression, we simplify each radical term first.
√−4 cannot be simplified because a negative number does not have a real square root. Hence, √−4= √(-1 × 4) = 2i√1 = 2i
Similarly, √5 cannot be simplified, so √5= √5
Now, we can subtract the given expression: 75 – √−4 – √5 = 75 – 2i – √5.
To subtract the given expression, 75 - √(-4) - √5, we need to simplify each part separately.
First, let's simplify the square root of -4. The square root of a negative number is not a real number, as it involves an imaginary unit 'i'. Therefore, we can express the square root of -4 as 2i, where i is the imaginary unit (√-4 = 2i).
Next, we have the expression 75 - 2i - √5.
Finally, we can't simplify any further since the terms 75, 2i, and √5 are all different and cannot be combined.
Therefore, the subtraction of 75 - √(-4) - √5 cannot be simplified any further.
To subtract 75 - √(-4) - √5, we need to simplify each term individually before performing the subtraction.
First, let's simplify √(-4). The square root of a negative number is considered an imaginary number. So, √(-4) = √(-1 * 4) = √(-1) * √(4) = i * 2 = 2i.
Next, we have √5, which is already simplified.
Now, we can substitute the simplified values back into the expression: 75 - 2i - √5.
This subtraction cannot be simplified further because we are subtracting different types of terms. The result is: 75 - 2i - √5.