Simplify 170−−−√

Question

Hint: In order to pull a number out of this one, you will need 2 numbers the same since it is square root of the number. Do you have 2 of the same to pull out of 170?

(1 point)
Responses

85
85

This radical expression is already fully simplified.
This radical expression is already fully simplified.

1710−−√

Answer 1

To simplify \(\sqrt{170}\), we need to check if there are perfect squares that we can pull out of the radical.

1. Factor 170 into its prime factors: \[ 170 = 2 \times 5 \times 17 \]

2. There are no pairs of the same numbers (i.e., no perfect squares) in the factorization of 170, which means we can't pull any whole numbers out of the square root.

Therefore, \(\sqrt{170}\) cannot be simplified further. It is already in its simplest form.

The correct response is: This radical expression is already fully simplified.