Simplify square root of 49x^2

Problem

√(,49*x2)

Solution

1. Apply the product property of square roots, which states that √(,a⋅b)=√(,a)⋅√(,b) for non-negative values.

√(,49*x2)=√(,49)⋅√(,x2)

2. Evaluate the square root of the constant coefficient 49

√(,49)=7

3. Simplify the square root of the variable squared. Since √(,x2)=|x| we account for the fact that the result must be non-negative.

√(,x2)=|x|

4. Combine the results to find the simplified expression.

7⋅|x|=7*|x|

Final Answer

√(,49*x2)=7*|x|

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