What is the cube root of 729?
3√729
The cube root of 729, denoted as 3√729, is a value which after getting multiplied by itself thrice gives the original value. This is the usual definition of the cube root of a number. Let us say, ‘n’ is the value of 3√729, then n × n × n = n3 = 729….How to Find Cube Root of 729.
| Number (n) | Cubes (n3) |
|---|---|
| 8 | 512 |
| 9 | 729 |
| 10 | 1000 |
How do you get the square root of 729?
To find the square root of 729: We can use prime factorization method to obtain one number from each pair of the same numbers and multiply them. The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3 which consists of 3 pairs of the same number, 3 × 3 x 3. Thus, the square root of 729 = 9 × 3 = 27.
Which of the following number is a perfect cube 729?
Yes mate, 729 is a perfect cube, because it is the cube of 9.
What is the prime factor of 729?
Answer: The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3. The fundamental theorem of arithmetic says that any composite number can be expressed in a unique way as a product of its prime factors. Therefore, 729 = (3 × 3 × 3)2 which is (33)2 = 36 in the exponent form.
What are the factors of 729?
Solution: The factors of 729 are 1, 3, 9, 27, 81, 243 and 729.
What are the positive and negative square roots of 729?
The positive square root is 27 and the negative one −27 .
IS 704 a perfect cube?
(v) Prime factorization of 704 is: 704 = 2 × 2 × 2 × 2 × 2 × 2 × 11 = 23 × 23 × 11 Here, 11 is the smallest number by which 704 is divided to make it a perfect cube, i.e., 704 ÷ 11 = 64 which is a perfect cube.
What table does 729 come in?
729 = 1, 3, 9, 27, 81, 243, and 729.
What is the cube root of 5832 by prime factorization method?
Hence, the cube root of the given number 5832 is 18 .
What is the LCM of 729?
The factors of 729 are 1, 3, 9, 27, 81, 243, 729 and factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. Therefore, the Least Common Multiple of 729 and 712 is 519048 and Highest Common Factor (HCF) of 729 and 712 is 1.
Is √ 729 an irrational number?
√729 is a irrational number if it is not a perfect square. it is a perfect square number because the square root of √729 is 27. therefore, it is a rational number.