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If n = m × m × m = m3, where m is an integer, then n is a perfect cube and the number m is called the __________ of n.
- a)cube root
- b)square root
- c)cube
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If n=m×m×m=m3, where m is an integer, then n is a perfect ...
M is the cube root of n, i.e. 3n = m.
Then, n = m x m x m = m^3.
Thus, n is m 3.
View all questions of this test
Then, n = m x m x m = m^3.
Thus, n is m 3.
Most Upvoted Answer
If n=m×m×m=m3, where m is an integer, then n is a perfect ...
Option 1 i.e. Cube root is the correct answer
Let us understand this with an example
let n= 27
So according to question
n= m×m×m
now as n= 27 we can write it as n= 3×3×3
from there we can conclude the value of m is 3.
n= m³. 27= 3³
Also we know that 3 is the cube root of 27.
This implies m is the cube root of n.
Hence proved.
Let us understand this with an example
let n= 27
So according to question
n= m×m×m
now as n= 27 we can write it as n= 3×3×3
from there we can conclude the value of m is 3.
n= m³. 27= 3³
Also we know that 3 is the cube root of 27.
This implies m is the cube root of n.
Hence proved.
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Community Answer
If n=m×m×m=m3, where m is an integer, then n is a perfect ...
If n = m, then the two variables have the same value.
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