Asked by Brady
Why is raising a number to the power of 1/2 the same as finding the square root of the number?
Can someone please help. Please provide examples. I would appreciate it if you guys can help as soon as possible.
Can someone please help. Please provide examples. I would appreciate it if you guys can help as soon as possible.
Answers
Answered by
Ms. Sue
Patience, child. I've deleted 3 of these duplicate posts in the last few minutes. Do not post this question again for at least 3 hours.
Answered by
Brady
Sorry, I didn't know that you delete duplicate posts. I have only just started using this site a couple days ago.
Answered by
Reiny
We know that
(√x)^2 = x , by the very definition of √x
suppose we take x(1/2) and square it
(x^(1/2)^2
by the exponents rules this would be
x( (1/2)(2) )
= x
so (√x)^2 = (x^(1/2) )^2
then √x = x^(1/2)
so x^(1/2) behaves the same way as √x
by the same argument we can show that
x^(1/3) is the same as ∛x
x^(1/4) is the same as ∜x
etc
(√x)^2 = x , by the very definition of √x
suppose we take x(1/2) and square it
(x^(1/2)^2
by the exponents rules this would be
x( (1/2)(2) )
= x
so (√x)^2 = (x^(1/2) )^2
then √x = x^(1/2)
so x^(1/2) behaves the same way as √x
by the same argument we can show that
x^(1/3) is the same as ∛x
x^(1/4) is the same as ∜x
etc
Answered by
Brady
Thank you. I appreciate it.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.