Here are the step-by-step workings for simplifying 3/7 (1+ square root of 36)^2 - (5- 1)^3:
1) square root of 36 = 6
2) (1 + 6)^2 = 49
3) (1 + square root of 36)^2 = 49
4) (5 - 1)^3 = (4)^3 = 64
5) 3/7(49) - 64 = 23 - 64= -41
Therefore, the simplified expression is:
3/7 (1+ square root of 36)^2 - (5- 1)^3 = -41
The workings are as follows:
- We calculate the square root of 36, which is 6.
- We then square (1 + 6), which gives us 49.
- Therefore, (1 + square root of 36)^2 = 49.
- We calculate (5 - 1)^3, which is (4)^3 = 64.
- We multiply 3/7 by 49, which gives us 23.
- Finally, we subtract 64 from 23 to get -41.
So the full expression simplifies to -41.
Let me know if you have any questions! I'm happy to provide any clarification or additional worked examples.