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Simplify 3/7 (1+ square root of 36)^2 - (5- 1)^3
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User Meryan
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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.

User Denish
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