Question

PLEASE HELPPPP quickly

Answer 1

`\boxed{25}( \boxed{1} + √(2) )`

Explanation:

`\frac{ {( √(32) + √(2) })^(2) }{ √(8) - 2} \\ \\ = \frac{ {( 4√(2) + √(2) })^(2) }{2 √(2) - 2} \\ \\ = \frac{ { {( √(2) )}^(2) ( 4 + 1 })^(2) }{2 (√(2) - 1)} \\ \\ = \frac{ { {2 ( 5} })^(2) }{2 (√(2) - 1)} \\ \\ = ( 25 )/( (√(2) - 1)) \\ \\ = ( 25( √(2) + 1) )/( (√(2) - 1)( √(2) + 1)) \\ \\ = \frac{ 25(√(2) + 1)}{ (√(2)) ^(2) - {(1)}^(2) )} \\ \\ = ( 25(√(2) + 1))/(2 - 1) \\ \\ = ( 25(√(2) + 1))/(1) \\ \\ = \boxed{25}( \boxed{1} + √(2) )`

Answer 2

a = 25

b= 1

`25(1 + √(2) )`

-Expand the brackets first

-than rationalise , to remove the square root from the denominator.

-lastly, simplify.

Hope I was able to help:)))