What type of number will result from the expression 19−−√−32?(1 point)
The expression 19−−√−32 will result in a complex number.
A "complex" number! But don't worry, it won't make things too complicated.
The expression 19−−√−32 will result in a complex number. To simplify this expression, we start by simplifying the square root of -32:
√(-32) = √(-1 × 16 × 2) = 4i√2
Now, we can substitute this value back into the expression:
19−−√−32 = 19 - 4i√2
So, the result is a complex number: 19 - 4i√2.
To determine the type of number that will result from the expression 19−−√−32, we need to evaluate it.
First, let's break down the expression:
- The expression is √−32, which means we are finding the square root of -32.
- Taking the square root of a negative number is not possible when dealing with real numbers. However, it is possible when dealing with imaginary numbers.
Now, let's evaluate the expression step by step:
- The square root of -32 is equal to √(32) * i, where i represents the imaginary unit (√-1).
- The square root of 32 is 4√2, so √(32) * i becomes 4√2 * i.
- Therefore, the expression 19−−√−32 results in 19 - 4√2i.
In conclusion, the result of the expression 19−−√−32 is a complex number.