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- a)6
- b)5
- c)4
- d)3
- e)None
Correct answer is option 'E'. Can you explain this answer?
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a)6b)5c)4d)3e)NoneCorrect answer is option 'E'. Can you explain this a...
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a)6b)5c)4d)3e)NoneCorrect answer is option 'E'. Can you explain this a...
Cube root of 2197 is 13 so the 1/3 and 3 gets cancelled, similarly for 1728 it is 12, so finally answer will be root of 13-12 which is equal to 1
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a)6b)5c)4d)3e)NoneCorrect answer is option 'E'. Can you explain this a...
Understanding the Problem
To solve the expression √(2197)2/3 - (1728)2/3, we need to break it down into simpler parts.
Step 1: Calculate (2197)2/3
- First, find the cube root of 2197.
- The cube root of 2197 is 13, since 13 * 13 * 13 = 2197.
- Next, raise 13 to the power of 2:
- 13^2 = 169.
Step 2: Calculate (1728)2/3
- Now, find the cube root of 1728.
- The cube root of 1728 is 12, since 12 * 12 * 12 = 1728.
- Raise 12 to the power of 2:
- 12^2 = 144.
Step 3: Subtract the Results
- Now we have:
- (2197)2/3 = 169
- (1728)2/3 = 144
- Perform the subtraction:
- 169 - 144 = 25.
Step 4: Final Result
- The final result of the expression is 25.
- Since 25 is not among the given options (6, 5, 4, 3), the correct answer is option 'E' (None).
Conclusion
The answer to the expression √(2197)2/3 - (1728)2/3 is 25, which confirms that the correct answer is option 'E'.
To solve the expression √(2197)2/3 - (1728)2/3, we need to break it down into simpler parts.
Step 1: Calculate (2197)2/3
- First, find the cube root of 2197.
- The cube root of 2197 is 13, since 13 * 13 * 13 = 2197.
- Next, raise 13 to the power of 2:
- 13^2 = 169.
Step 2: Calculate (1728)2/3
- Now, find the cube root of 1728.
- The cube root of 1728 is 12, since 12 * 12 * 12 = 1728.
- Raise 12 to the power of 2:
- 12^2 = 144.
Step 3: Subtract the Results
- Now we have:
- (2197)2/3 = 169
- (1728)2/3 = 144
- Perform the subtraction:
- 169 - 144 = 25.
Step 4: Final Result
- The final result of the expression is 25.
- Since 25 is not among the given options (6, 5, 4, 3), the correct answer is option 'E' (None).
Conclusion
The answer to the expression √(2197)2/3 - (1728)2/3 is 25, which confirms that the correct answer is option 'E'.
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