Find the cube root of 729 and also find their one and tens digit
The correct answer and explanation is:
Correct Answer:
The cube root of 729 is 9.
The one digit is 9 and the tens digit is 0.
Explanation:
To find the cube root of 729, we are looking for a number that when multiplied by itself three times gives 729. This is written as:
∛729 = ?
We start by trying small whole numbers:
- 2 × 2 × 2 = 8
- 3 × 3 × 3 = 27
- 4 × 4 × 4 = 64
- 5 × 5 × 5 = 125
- 6 × 6 × 6 = 216
- 7 × 7 × 7 = 343
- 8 × 8 × 8 = 512
- 9 × 9 × 9 = 729
So, ∛729 = 9.
This means 9 is the number that, when cubed, gives 729. In other words,
9 × 9 × 9 = 81 × 9 = 729.
Now, to find the one and tens digits of the cube root:
The number is 9, which is a single-digit number.
- The one digit (also called the units digit) is the last digit, which is 9.
- The tens digit is the digit before the last one. Since 9 is a single-digit number, there is no digit before it. Therefore, the tens digit is 0.
In conclusion:
- Cube root of 729 is 9
- One digit is 9
- Tens digit is 0
This process shows how understanding cubes and place value helps us solve numerical questions correctly and clearly.