Question

I need help with this algebra question can someone explain the steps on how you solve it ?

Answer 1

Answer:

27

Step-by-step explanation:

(5+√2)²

you distribute the ² in the ()

so 5²+√2²

5²=25

√2²=2 because the √ and ² cancel each other out and you get 2

so now you have

25+2

which equals

27

Answer 2

Given expression:

             (5 + $\sqrt{2}$)²

Now let us solve this problem by simplifying it;

    (5 + $\sqrt{2}$)²:

   the power implies the expression in the bracket should be repeated twice:

        = (5 + $\sqrt{2}$)  (5 + $\sqrt{2}$)

  Then expand the bracket by distribution;

     =  (5 x 5) + 5($\sqrt{2}$) + 5($\sqrt{2}$) + 2

     = 25 + 10$\sqrt{2}$ + 2

     =  27 + 10$\sqrt{2}$