Using foil to square a binomial radical, (sqrt(2) + sqrt(7))^2

The video tutorial explains why powers cannot be distributed over addition or subtraction. It clarifies the concept of squaring a binomial, emphasizing that it involves multiplying the binomial by itself. The instructor recommends using the FOIL method to solve such problems, demonstrating each step in detail. Finally, the tutorial shows how to combine like terms to arrive at the final solution.

Explain why you cannot distribute a power across addition or subtraction with an example.

What does raising a number to a power mean, and how is it represented mathematically?

Describe the FOIL method and how it is applied to binomials.

How do you simplify the expression sqrt(2) * sqrt(7) and what is the final result?

What is the result of combining like terms in the expression 2 + sqrt(14) + sqrt(14) + 7?