Question

is cube root of a number 1, +1 or -1 ? please tell with reason​

Answer 1

+1 will be answer

hope it's help

Answer 2

The cube root of 1 is always '+1', and never becomes -1.

-1 is the cube root of -1.

Let me explain.

Let a number be 'a'.

Let me take its cube.

a × a × a = a² × a = a³

Let me take another number -a and its cube too.

-a × -a × -a = (-a)² × -a = a² × -a = -a³

From here, we get that it's positive sign always in the cube of a positive integer, and it's negative sign in the cube of a negative integer.

So in the case of 1, the cube of 1 is 1, while the cube of -1 is -1.

Also remember the following.

If n is odd, then (-a)ⁿ = -aⁿ, which is of negative form.

If n is even, then (-a)ⁿ = aⁿ, which is of positive form.

And also,

if a is a positive integer,

the sign of a^(1/n) is always positive if n is odd,

and that of a^(1/n) can be both positive and negative if n is even.

Hope this helps. ^_^

Please mark it as the brainliest.

Please ask me if you've any doubts.

Thank you. :-))