Question

Sqrt(6+2sqrt(3)+2sqrt(2)+2sqrt(6)

Answer 1

Step-by-step explanation:

Given: (√6+2√2)(4√6−3√2).

Use the FOIL theorem, which states that (a+b)(c+d)=ac+ad+bc+bd.

So, we get:

=√6⋅4√6−3√2⋅√6+2√2⋅4√6−2√2⋅3√2

=4⋅6−3√12+8√12−6⋅2

=24−12+5√12

=12+5√12