Answer:39
Explanation:24+1−
13
2
−(11+1)
2
×(−3)−1
We'll follow the order of operations (PEMDAS/BODMAS):
Evaluate the expressions inside the parentheses:
11
+
1
=
12
11+1=12
Square the numbers inside the parentheses:
1
3
2
=
169
13
2
=169
1
2
2
=
144
12
2
=144
Subtract the squares inside the square root:
169
−
144
=
25
169−144=25
Take the square root:
25
=
5
25
=5
Multiply by
−
3
−3:
5
×
(
−
3
)
=
−
15
5×(−3)=−15
Combine everything according to the order of operations:
24
+
1
=
25
24+1=25
25
−
(
−
15
)
=
25
+
15
=
40
25−(−15)=25+15=40
40
−
1
=
39
40−1=39
So, the simplified result is:
39
39
