Evaluate: $2 - [3 - (6 - 5 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 4 - 3)]$

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Solution

To evaluate an expression , we must first simplify the expression below the vinculum, then inside the small bracket , then inside the curly bracket , and finally inside the square bracket using the DMAS rule,

Thus, $2 - [3 - (6 - 5 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 4 - 3)]$

$= 2 - [3 - (6 - (5 - 1))]$

[Removing vinculum]
$= 2 - [3 - (6 - 4)]$

[Removing small bracket ]
$= 2 - [3 - 2]$

[Removing curly bracket]
$= 2 - 1$

[Removing square bracket]
$= 1$

$∴$ The value of $2 - [3 - (6 - 5 - ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 4 - 3)]$ is $1$ .

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