Question

The value of the expression $\sqrt{34+24\sqrt{2}}\times (4-3\sqrt{2})$ is ?

• A. $-4$
• B. $-2$
• C. $3$
• D. $4$

Answer 1

The correct option is B $-2$

According to question,

$\sqrt{34+24\sqrt{2}}\times (4-3\sqrt{2})$

$⟹\sqrt{(4+3\sqrt{2}{)}^2}\times (4-3\sqrt{2})$

$⟹(4+3\sqrt{2})\times (4-3\sqrt{2})$

$⟹16-18$

$⟹-2$