Which of the following are perfect cubes? 1. 400 2. 3375 3. 8000 7. 2025 4. 15625 8. 10648 5. 9000 6. 6859
Answers
Step-by-step explanation of Answer:
Since 2 & 5 do not occur in triplets. ∴ 400 is not a perfect cube
3√3375 = 15
∴ The Cube root of 3375 is 15.
The value of the cube root of 8000 is 20. It is the real solution of the equation x3 = 8000. ... As the cube root of 8000 is a whole number, 8000 is a perfect cube.
The number 2025 on prime factorization gives 3 × 3 × 3 × 3 × 5 × 5. Here, the prime factor 3 is not in the power of 3. Therefore the cube root of 2025 is irrational, hence 2025 is not a perfect cube.
We can say that 15625 is a perfect cube. Therefore, the required cube root of 15625 is 25.
cube root of 10648 is 22.
Cube of a number is a product obtained by multiplying the number with itself three times. ... 3 is multiplied only 2 times in the factorization. Therefore, 9000 is not a perfect cube.
In mathematics, we need to remember the squares and cubes of the first 20 natural numbers. Here, we can see that the number 6859 can be written as a cube of 19. Therefore, we can conclude that the given number 6859 is a perfect cube.