Question

If 8 - a$\sqrt{2}$ = b + 2$\sqrt{2}$,
then a+b = .

• A. 2
• B. 6
• C. 8
• D. 10

Answer 1

The correct option is B 6

Given, 8 - a$\sqrt{2}$ = b + 2$\sqrt{2}$
Comparing like terms, -a = 2 $\Rightarrow$ a = -2
and b = 8.
Hence, a + b = -2 + 8 = 6.