(√2+√3)(√2-√3) is equal to:

Correct option is C

Given:

We are asked to find the value of the expression:
​$$(\sqrt{2} + \sqrt{3})(\sqrt{2} - \sqrt{3})$$​​

Formula Used:

We use the identity for the difference of squares:
​$$(a + b)(a - b) = a^2 - b^2$$​​

Solution:

In this case, let a = $$\sqrt{2} \ and \ b = \sqrt{3}$$​​
Using the formula:
​$$(\sqrt{2} + \sqrt{3})(\sqrt{2} - \sqrt{3}) = (\sqrt{2})^2 - (\sqrt{3})^2$$

2 - 3 = -1

The value of $$(\sqrt{2} + \sqrt{3})(\sqrt{2} - \sqrt{3})\ is -1.$$​​