Question

Simplify the following

$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$

Answer 1

Given

$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$

According to the BODMAS rule, we need to solve the inner bracket terms first

$\Rightarrow$$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$$=2-\left[6-\left\{2+5\left(3\right)\right\}\right]$

$\Rightarrow$$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$$=2-\left[6-\left\{2+15\right\}\right]$

$\Rightarrow$$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$$=2-\left[6-17\right]$

$\Rightarrow$$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$$=2-\left[-11\right]$

$\therefore$$2-\left[6-\left\{2+5\left(6-3\right)\right\}\right]$$=13$

Hence, the correct answer is $13$