Simplify ( square root of 2+x)^2

Problem

(√(,2+x))^2

Solution

1. Identify the relationship between the square root and the exponent. The square root of a value a denoted as √(,a) is the same as raising that value to the power of 1/2

2. Apply the power of a power rule, which states that (a^m)^n=a^(m⋅n)

3. Multiply the exponents 1/2 and 2

(√(,2+x))^2=(2+x)^(1/2⋅2)

4. Simplify the resulting exponent to 1

(2+x)^1=2+x

Final Answer

(√(,2+x))^2=2+x

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