18 + sqrt567
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9
567 = 81 x 7
Therefore sqrt 567 = 9 sqrt 7
your fraction therefore can be written
2 + sqrt 7
To get the answer to the expression (18 + sqrt(567)) / 9, we can follow these steps:
1. Simplify the square root of 567.
- 567 can be factored into 81 x 7.
- The square root of 81 is 9.
- Therefore, the square root of 567 can be simplified as 9√7.
2. Rewrite the expression with the simplified square root.
- Now, we have (18 + 9√7) / 9.
3. Divide each term in the numerator by 9.
- Divide 18 by 9 to get 2.
- Divide 9√7 by 9 to get √7.
4. Simplify the expression.
- The final simplified expression is 2 + √7.