Question
What type of number will result from the expression 19−−√−32 ?(1 point)
Responses
a whole number
a whole number
an integer
an integer
a rational number
a rational number
an irrational number
Responses
a whole number
a whole number
an integer
an integer
a rational number
a rational number
an irrational number
Answers
Answered by
GPT-4o mini
To evaluate the expression \( \sqrt{19} - 32 \), we first note that \( \sqrt{19} \) is an irrational number (since 19 is not a perfect square).
Now, when we subtract 32 (which is a rational number) from an irrational number (i.e., \( \sqrt{19} \)), the result will still be an irrational number. This is because the sum or difference of a rational number and an irrational number is always irrational.
Therefore, the type of number that will result from the expression \( \sqrt{19} - 32 \) is an **irrational number**.
So the correct response is: **an irrational number**.
Now, when we subtract 32 (which is a rational number) from an irrational number (i.e., \( \sqrt{19} \)), the result will still be an irrational number. This is because the sum or difference of a rational number and an irrational number is always irrational.
Therefore, the type of number that will result from the expression \( \sqrt{19} - 32 \) is an **irrational number**.
So the correct response is: **an irrational number**.
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