Simplify square root of 49x^6

Problem

√(,49*x6)

Solution

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

√(,49⋅x6)=√(,49)⋅√(,x6)

2. Evaluate the square root of the constant coefficient.

√(,49)=7

3. Simplify the radical of the variable expression by dividing the exponent by the index of the root, which is 2.

√(,x6)=x(6/2)

4. Simplify the exponent to find the final power of the variable.

x(6/2)=x3

5. Combine the results to obtain the simplified expression.

7⋅x3=7*x3

Final Answer

√(,49*x6)=7*x3

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