Simplify ( square root of x+ square root of 3)^2

Problem

(√(,x)+√(,3))2

Solution

1. Identify the expression as a binomial squared in 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=√(,3) into the formula.

4. Expand the terms to get (√(,x))2+2*(√(,x))*(√(,3))+(√(,3))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)+√(,3))2=x+2√(,3*x)+3

Want more problems? Check here!