Simplify the expression and solve the equation: (3-4√2)^2

Answer 1

Because the term is squared it may be easier to see how to solve by rewriting the expression as:

(3-4√2)(3-4√2)

In order to multiply these two binomials we use FOIL (first, outer, inner, last) and simplifying

(3)(3) - 3(4√2) - 3(4√2) + (4√2)(4√2)

9 - 12√2 - 12√2 + 16(2)

9 - 24√2 + 32

41 - 24√2 FINAL ANSWER

Answer 2

 (3-4√2)^2

we can use following expansion to solve this

(a-b)² = a² -2ab +b²

(3-4√2)² =( 3)² -2(3)(4√2) +(4√2)²

= 9 - 24√2 +32

=41 -24√2