Question

Simplify each of the following:
$36-\left[18-\{14-(15-4÷2\times 2\left)\right\}\right]$

Answer 1

On applying the BODMAS rule, we get:

36 $-$ [18 $-$ { 14 $-$ (15 $-$ 4 ÷ 2 ​× 2)}]
= 36 − [18 − {14 − (15 − 2 × 2)}] (On performing division)
= 36 $-$ [18 $-$ {14 $-$ (15 $-$ 4)}] (On performing multiplication)
= 36 $-$ [18 $-$ {14 $-$ 11}] (On simplifying parentheses)
= 36 $-$ [18 $-$ 3] (On simplifying braces)
= 36 $-$ 15
= 21