Answer:
40
Explanation:
We can simplify the expression using the Order of Operations (PEMDAS):
P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
But remember that {M and D} and {A and S} are interchangeable, so whichever one in the grouping comes first, you work out first.
7 × 3 + [ 6 + 2 × (24 ÷ 4 + 3 × 2) − 7 × √4 ] + 9 ÷ 3
↓ working inside the brackets (which act as parentheses)
[ 6 + 2 × (24 ÷ 4 + 3 × 2) − 7 × √4 ]
↓ working inside the parentheses
(24 ÷ 4 + 3 × 2)
↓ completing the division and multiplication ... 24 ÷ 4 = 6 ... 3 × 2 = 6
(6 + 6)
↓ completing the addition ... 6 + 6 = 12
(12)
↓ putting it back into the bracketed expression
[ 6 + 2 × (12) − 7 × √4 ]
↓ completing the multiplication ... 2 × 12 = 24 ... 7 × √4 = 7 × 2 = 14
[ 6 + 24 − 14 ]
↓ completing the addition ... 6 + 24 = 30
[ 30 − 14 ]
↓ completing the subtraction ... 30 − 14 = 16
[16]
↓ putting it back into the original expression
7 × 3 + [16] + 9 ÷ 3
↓ completing the multiplication and division ... 7 × 1 = 24 ... 9 ÷ 3 = 3
21 + [16] + 3
↓ completing the leftmost addition ... 21 + 16 = 37
37 + 3
↓ completing the addition ... 37 + 3 = 40
40