Question number 2.2.3 , please help .

Proved below

Step-by-step explanation:

Question 2.2.3 says we should prove that;

√18 - √128 + 2^(2.5) = -√2

Breaking this down gives;

√(9 × 2) - √(64 × 2) + 2^(5/2)

This gives;

>> 3√2 - 8√2 + (2^(5))^(½)

>> 3√2 - 8√2 + √32

>> 3√2 - 8√2 + √(16 × 2)

>> 3√2 - 8√2 + 4√2

>> (3 - 8 + 4)√2

>> -√2

This is equal to the right hand side and so it is proved.