Simplify square root of 9x^4

Problem

√(,9*x4)

Solution

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

√(,9⋅x4)=√(,9)⋅√(,x4)

2. Evaluate the square root of the constant coefficient 9

√(,9)=3

3. Apply the power rule for radicals to the variable part, which states √(,xn)=x(n/2) for x≥0

√(,x4)=x(4/2)

4. Simplify the exponent by performing the division.

x(4/2)=x2

5. Combine the results to find the final simplified expression.

3⋅x2=3*x2

Final Answer

√(,9*x4)=3*x2

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