(root2 + root3)^2 simplify
You have to "foil" this. Do root 2 times root 2, then root 2 times root 3, root 3 times root 2, and root 3 times root 3. Then simplify.
To simplify the expression (root2 + root3)^2, we can use the formula for squaring a binomial: (a + b)^2 = a^2 + 2ab + b^2.
In this case, a = √2 and b = √3. Plugging these values into the formula, we can simplify the expression as follows:
(√2 + √3)^2 = (√2)^2 + 2(√2)(√3) + (√3)^2
Simplifying further:
= 2 + 2√6 + 3
= 5 + 2√6
Therefore, the simplified form of the expression (root2 + root3)^2 is 5 + 2√6.