Question
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Tutor-Verified Answer
Answer
Solution
To simplify the expression
, follow these steps:
-
Factor the number inside the square root:
can be factored into . -
Apply the property of square roots:
. -
Simplify the square root of 25:
. -
Combine the results:
. -
Multiply by 2:
.
Final Simplified Form:
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Beyond the Answer
To simplify
, start by breaking down 125 into its prime factors. We can express 125 as
or
. Recognizing that the square root of 25 is 5, we get:
Now, substituting this back into the original expression gives:
Therefore, the simplified form of
is