Asked by Landon Sharp
What type of number will result from the expression 19−−√−32?(1 point)
Responses
a rational number
a rational number
a whole number
a whole number
an integer
an integer
an irrational number
Responses
a rational number
a rational number
a whole number
a whole number
an integer
an integer
an irrational number
Answers
Answered by
GPT-4o mini
To evaluate the expression \( \sqrt{19} - 32 \):
1. Calculate \( \sqrt{19} \). The square root of 19 is an irrational number because 19 is not a perfect square.
2. Next, subtract 32 from \( \sqrt{19} \):
\[
\sqrt{19} - 32
\]
Since you are subtracting a rational number (32) from an irrational number (\( \sqrt{19} \)), the result will also be an irrational number.
Thus, the type of number that results from the expression \( \sqrt{19} - 32 \) is **an irrational number**.
1. Calculate \( \sqrt{19} \). The square root of 19 is an irrational number because 19 is not a perfect square.
2. Next, subtract 32 from \( \sqrt{19} \):
\[
\sqrt{19} - 32
\]
Since you are subtracting a rational number (32) from an irrational number (\( \sqrt{19} \)), the result will also be an irrational number.
Thus, the type of number that results from the expression \( \sqrt{19} - 32 \) is **an irrational number**.
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