Products of Irrational Square Roots Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
What is √125
simplified?(1 point)

Answer 1

To simplify \(\sqrt{125}\), we can start by factoring 125 into its prime factors:

\[ 125 = 25 \times 5 = 5^2 \times 5 \]

Now we can take the square root:

\[ \sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5} \]

Therefore, \(\sqrt{125}\) simplified is \(5\sqrt{5}\).