Simplify square root of 850

Problem

√(,850)

Solution

1. Identify the prime factors of the number inside the square root.

850=2⋅425

425=5⋅85

85=5⋅17

850=2⋅5⋅17

2. Apply the property of square roots that allows the extraction of perfect squares from the radicand.

√(,850)=√(,5⋅(2⋅17))

3. Simplify the expression by taking the square root of the perfect square factor.

√(,850)=5√(,2⋅17)

√(,850)=5√(,34)

Final Answer

√(,850)=5√(,34)

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