(√3-√2)2 Is Equal To

Suzhoumeite

less than a minute read

·

Jun 07, 2024

20

Share

(√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.