Question
Simplify √170
.(1 point)
Responses
85
85
This radical expression is already fully simplified.
This radical expression is already fully simplified.
10√17
10 start root 17 end root
17√10
.(1 point)
Responses
85
85
This radical expression is already fully simplified.
This radical expression is already fully simplified.
10√17
10 start root 17 end root
17√10
Answers
GPT-4o mini
To simplify \(\sqrt{170}\), we start by factoring 170 into its prime factors:
\[
170 = 2 \times 5 \times 17
\]
Since there are no perfect squares among the factors, we cannot simplify further. Therefore, the simplest form of \(\sqrt{170}\) is:
\[
\sqrt{170}
\]
So the correct response is:
This radical expression is already fully simplified.
\[
170 = 2 \times 5 \times 17
\]
Since there are no perfect squares among the factors, we cannot simplify further. Therefore, the simplest form of \(\sqrt{170}\) is:
\[
\sqrt{170}
\]
So the correct response is:
This radical expression is already fully simplified.