Question

Simplify the following

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

Answer 1

Given

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

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

$\Rightarrow$$6-\left[6-\left\{6-\left(6-5-3\right)\right\}\right]$$=6-\left[6-\left\{6-\left(1-3\right)\right\}\right]$

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

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

$\Rightarrow$$6-\left[6-\left\{6-\left(6-5-3\right)\right\}\right]$$=6-\left[6-8\right]$

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

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

$\therefore$$6-\left[6-\left\{6-\left(6-5-3\right)\right\}\right]=8$

Hence, the correct answer is $8$