How To find out the value of cube root of 729
We will find factors of the number 729 then we will take cube root of the number, it is a value which when multiplied by itself three times gives the original value, 729 So let’s start
Step 1: Now we will find the factors of 729.
729 is divisible completely by 1,3,9,27,81,243 and 729
So the Factors of 729 are 1,3,9,27,81,243 and 729.. The factors greater than 1 are 3,9,27,81,243and 729.
Step 2: If 9 is multiplied three times, the value is 729.
9*9*9 =729
Step 3: Hence 9 is considered to be the cube root of 729
Step 4: Therefore, we can say that the value of cube root of 729 is 9
Step 5: We express the value of cube root of 729 as ∛729 = 9
Since the cube root symbol is denoted by ∛
Multiple Choice Question
No 1) what are the highest prime factors of 729
a) 1 and 729
b) 27 and 81
c) 243
d) 3
Answer – d) 3
Because 3 has only two divisors or factors i.e., the number 1 and itself. It cannot be divided by any other number except 1 and itself. Hence it is called the highest prime factor of 729
Q.No.2) Which of the following is a cube root of 729?
a) 49
b) 3
c) 9
d) 81
Answer – c) 9
Since 9 when multiplied three times, the product is 729
9*9*9= 729.