SOLUTION: Simplify. Express your answer in simplied radical form.
sqrt 250
Algebra.Com
Question 89101: Simplify. Express your answer in simplied radical form.
sqrt 250
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. This way the perfect square will become a rational number.
So let's list the factors of 250
Factors:
1, 2, 5, 10, 25, 50, 125,
Notice how 25 is the largest perfect square, so lets break 250 down into 25*10
Factor 250 into 25*10
Break up the square roots using the identity
Take the square root of the perfect square 25 to get 5
So the expression
simplifies to
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