Simplify the equation.

Question

(√2+4)(7√2-6)

Answer 1

Hello Rachel.

 

First of all, I must apologize, but I do not have the square root sign.  So, I will be using sq.rt. to indicate the square root.  In addition, I will break down the problem for you, and then I will combine the like terms. Using the FOIL method

(sq.rt. 2+4)(7 sq.rt.2-6)

(sq.rt.2)(7)(sq.rt.2)= 2(7)= 14

(sq.rt2)(-6).                    = -6 sq.rt. 2

(4)(7)(sq.rt.2).                = 28 sq.rt. 2

(4)(-6).                           = -24

Now , combining like terms, we have

(-6 sq.rt.2)+(28 sq.rt.2)= 22 sq.rt.2

(14)+(-24)= -10

 

So, our final answer is 22sq.rt.2-10

 

Well, Rachel there you have it.  I hope this helps. Take care, and please rate my answer :)

 

D. Y. Taylor

Answer 2

Foil the expression to get

 

7sqrt(2)² + 28sqrt(2) - 6sqrt(2) - 24

=

 

7sqrt(2)² + 22sqrt(2) - 24

 

=

 

7 * 2  + 22sqrt(2) - 24

 

=

 

22√2 - 10