Question

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

Answer 1

27

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 +
`√(2)`)²

Now let us solve this problem by simplifying it;

(5 +
`√(2)`)²:

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

= (5 +
`√(2)`) (5 +
`√(2)`)

Then expand the bracket by distribution;

= (5 x 5) + 5(
`√(2)`) + 5(
`√(2)`) + 2

= 25 + 10
`√(2)` + 2

= 27 + 10
`√(2)`