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

Problem

(√(,x)−√(,3))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=√(,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. Result in the final simplified expression x−2√(,3*x)+3

Final Answer

(√(,x)−√(,3))2=x−2√(,3*x)+3

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