Simplify ( square root of x+ square root of 2)^2

Problem

(√(,x)+√(,2))2

Solution

1. Identify the expression as a binomial square of the form (a+b)2

2. Apply the formula for the square of a binomial, which is (a+b)2=a2+2*a*b+b2

3. Substitute a=√(,x) and b=√(,2) into the formula.

4. Expand the terms to get (√(,x))2+2*(√(,x))*(√(,2))+(√(,2))2

5. Simplify each term by evaluating the squares and combining the radicals.

6. Combine the results to reach the final simplified expression.

Final Answer

(√(,x)+√(,2))2=x+2√(,2*x)+2

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