(√3-√2)^2 is equal to
In this article, we will discuss the expansion of (√3-√2)^2 and find its value.
Expansion of (√3-√2)^2
To expand (√3-√2)^2, we can use the formula for the square of a binomial:
(a-b)^2 = a^2 - 2ab + b^2
In this case, a = √3 and b = √2. Substituting these values into the formula, we get:
(√3-√2)^2 = (√3)^2 - 2(√3)(√2) + (√2)^2
Simplifying the Expression
Now, let's simplify the expression:
(√3)^2 = 3
2(√3)(√2) = 2√6
(√2)^2 = 2
Substituting these values back into the expression, we get:
(√3-√2)^2 = 3 - 2√6 + 2
Final Answer
So, (√3-√2)^2 is equal to 3 - 2√6 + 2.