
A number is multiplied three times, then the number is called …………. of the final number.
A. square root
B. cube root
C. absolute value
D. negative
Answer
581.1k+ views
Hint: As we know that if a number is multiplied three times, then we will get a cube of that number. To solve this question, we recall the definition of cube, cube root and properties of cube and cube root. Then, we discuss cube and cube root by an example. This helps us to reach our answer.
Complete step-by-step answer:
We have given that a number is multiplied three times.
As we know that when we multiply a number three times, we will get its cube.
For example- $ 3\times 3\times 3=27 $ . So, $ 27 $ is the cube of $ 3 $ .
A cube root is a special number which when cubed gives the original number. In above example $ 3 $ is the cube root of $ 27 $ . The symbol used to denote the cube root is $ \sqrt[3]{{}} $ . We get a perfect cube when we multiply three times a whole number. Cube of a negative number is always negative.
So, a number is multiplied three times, then the number is called the cube root of the final number.
So, the correct answer is “Option B”.
Note: Some properties of cube and cube root are as following-
A number having \[1\] in its unit digit, then in cubes also has \[1\] in unit digit.
The cubes of all even numbers are even and cubes of all odd numbers are odd.
The cube root of a negative integer is always negative.
Complete step-by-step answer:
We have given that a number is multiplied three times.
As we know that when we multiply a number three times, we will get its cube.
For example- $ 3\times 3\times 3=27 $ . So, $ 27 $ is the cube of $ 3 $ .
A cube root is a special number which when cubed gives the original number. In above example $ 3 $ is the cube root of $ 27 $ . The symbol used to denote the cube root is $ \sqrt[3]{{}} $ . We get a perfect cube when we multiply three times a whole number. Cube of a negative number is always negative.
So, a number is multiplied three times, then the number is called the cube root of the final number.
So, the correct answer is “Option B”.
Note: Some properties of cube and cube root are as following-
A number having \[1\] in its unit digit, then in cubes also has \[1\] in unit digit.
The cubes of all even numbers are even and cubes of all odd numbers are odd.
The cube root of a negative integer is always negative.
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