Simplify square root of 100x^2

Problem

√(,100*x2)

Solution

1. Apply the product property of radicals to separate the constant and the variable parts.

√(,100*x2)=√(,100)⋅√(,x2)

2. Evaluate the square root of the constant 100.

√(,100)=10

3. Simplify the square root of the squared variable using the property √(,a2)=|a|

√(,x2)=|x|

4. Combine the results to find the simplified expression.

10⋅|x|=10*|x|

Final Answer

√(,100*x2)=10*|x|

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