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.

Why can't you distribute a power across addition?

• Because it only works for subtraction

• Because it simplifies the expression incorrectly

• Because it violates the rules of exponents

• Because it changes the order of operations

What does squaring a binomial mean?

• Adding the binomial to itself

• Multiplying the binomial by itself

• Dividing the binomial by itself

• Subtracting the binomial from itself

What is the first step in the FOIL method?

• Multiply the outer terms

• Multiply the last terms

• Multiply the inner terms

• Multiply the first terms

When multiplying radicals, what must be the same?

• The coefficients

• The indices

• The exponents

• The bases

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

• 9 + 2sqrt(14)

• 9 + sqrt(28)

• 16 + sqrt(14)

• 2 + 2sqrt(14) + 7