WHY WON'T IT WORK (ALGEBRA, POWER)?

2008-12-25 6:10 pm
Thanks Jwei88, Ricardo, Philo, Abs, and Abdulkerim: but here is an example and my question is WHY THE PROCESS DOES NOT WORK FOR A WHOLE NUMBER? SQRT(1/4) = (1/4)^(1/2) = 1/4 * 2/1 = 2/4 = 1/2 so I found it !!
NOW, IT WON'T WORK FOR 10,000, Look:
SQRT(10,000) = (10,000) ^ (1/2) = 10,000 * 2/1 = 2/10,000 = 5,000????? and I am nuts here! is the solution to factorize every whole number?

回答 (5)

2008-12-25 6:47 pm
✔ 最佳答案
when you do any thing that have square root or power
power cannot be change to inverse fraction
first one
√(1/4)
looked at the denominator of 4
=√(1/4)
=√1/√4
=1/2
when ever you have square root with fraction you can separate it top & bottom.

second one
√10,000

you know 10^2 is 100
√100 is 10
what give number squared to give you 10,000
x^2 is 10,000
√10,000 is 100
because is multiply
100*100 will give 10,000

100 is the correct answer for second one
2008-12-26 6:08 pm
This seems rather a long story !

(1/4)^(1/2) = 1/2

10,000^(1/2) = (10^4)^(1/2) = 10 ² = 100

Have taken +√ only.

If desired , can show as ±√
2008-12-26 3:57 am
positive and negative 100
2008-12-26 2:21 am
WHY THE PROCESS DOES NOT WORK FOR A WHOLE NUMBER? It's not supposed to.

2^2 = 4
2^2 = 2+2 = 4

3^2 = 9
3^2 = 3+3 = 6 Doesn't work ,not supposed to.
2008-12-26 2:17 am
±√(1/4) = 1/4^(1/2) = 1/4 * 2/1 ...
(this process is wrong.)

1)
±√(1/4)
= ±√(1/2 * 1/2)
= ±1/2 (+1/2 or -1/2)

2)
±√10000
= ±√(100 * 100)
= ±100


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