Question

Simplify: $841÷[172-72+(72-\overline{44-43})]$

Answer 1

The BODMAS rule can simplify any expression using these steps of solving:

Brackets (parts of a calculation inside brackets always come first).

Orders (numbers involving powers or square roots).

Division

Multiplication

Addition

Subtraction

Now, using BODMAS rule, we solve the given expression $841÷[172-72+(72-\overline{44-43}\left)\right]$ as follows:

$841÷[172-72+(72-\overline{44-43})]=841÷[172-72+(72-44+43)]=841÷\{172-72+[(72+43)-44]\}=841÷[172-72+(115-44)]=841÷[172-(72+71)]$

$=841÷[172-143]=841÷29=841\times \frac{1}{29}=29$

Hence, $841÷[172-72+(72-\overline{44-43}\left)\right]=29$