Question

Simplify the following

$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$

Answer 1

Given

$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$

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

$\Rightarrow$$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$$=8+\left[6-3-\left\{5+\left(2-4\right)\right\}\right]$

$\Rightarrow$$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$$=8+\left[6-3-\left\{5+\left(-2\right)\right\}\right]$

$\Rightarrow$$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$$=8+\left[6-3-\left\{5-2\right\}\right]$

$\Rightarrow$$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$$=8+\left[6-3-3\right]$

$\Rightarrow$$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$$=8+\left[3-3\right]$

$\therefore$$8+\left[6-3-\left\{5+\left(2-8÷2\right)\right\}\right]$$=8$

Hence, the correct answer is $8$