Question
simplify radical 170
A. this radical expression is already fully simplified
B. 10 radical 17
C. 17 radical 10
D. 85
A. this radical expression is already fully simplified
B. 10 radical 17
C. 17 radical 10
D. 85
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the radical expression \(\sqrt{170}\), we can look for perfect square factors of 170.
The prime factorization of 170 is:
\[
170 = 2 \times 5 \times 17
\]
None of the factors (2, 5, and 17) are perfect squares, so there are no perfect square factors to take out of the square root.
Therefore, \(\sqrt{170}\) cannot be simplified further in terms of whole numbers or simpler radicals.
Thus, the correct answer is:
**A. this radical expression is already fully simplified.**
The prime factorization of 170 is:
\[
170 = 2 \times 5 \times 17
\]
None of the factors (2, 5, and 17) are perfect squares, so there are no perfect square factors to take out of the square root.
Therefore, \(\sqrt{170}\) cannot be simplified further in terms of whole numbers or simpler radicals.
Thus, the correct answer is:
**A. this radical expression is already fully simplified.**
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