the problem is 3 over the square root of 5.
I'm supposed to simplify
2007-08-27 15:00:29 · 16 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
way2hot....& whoami are right
If you give a decimal answer, that is solving, not simplifying
2007-08-27 15:05:19 · answer #1 · answered by atjetcmk 3 · 0⤊ 0⤋
I believe They mean rationalize th denominator
3 / 5^ (1/2) = 3 5^1/2 / 5^1/2 x 5^1/2 = 3 5^1/5 / 5
multiply both the top and bottom by the square root of 5
the top become 3 times the square root of 5 and the bottom becomes 5
2007-08-27 15:07:22 · answer #2 · answered by Will 4 · 0⤊ 0⤋
It is not so much "simplify" as 3 and SQRT(5) are not divisible into each other.
However, it is customary to not leave a square root in the denominator.
The easy way out is to multiply above and below by SQRT(5). This is the same as multiplying by 1 and does not change the value. Anything over itself is always 1 (except for 0/0 which could be anything, including 1)
so
3/SQRT(5) =
3*SQRT(5) / [SQRT(5) * SQRT(5)]
3*SQRT(5) / 5
By definition, the square root of x is the number which, multiplied to itself, will give x.
So, SQRT(5) times SQRT(5) = 5
And it is OK to leave a five below the line.
But if you want to go further, you can change 1/5 to 0.2
so that 3*SQRT(5) / 5
becomes
0.2 * 3 * SQRT(5) =
0.6*SQRT(5)
(this makes sense because 0.6 = 6/10 = 3/5)
2007-08-27 15:09:40 · answer #3 · answered by Raymond 7 · 0⤊ 0⤋
since the square root of 5 is a trandescental number, you round it up so you get 3 over 3 = 1 over 1 so we can say the answer is 1.
2007-08-27 15:03:28 · answer #4 · answered by Anonymous · 0⤊ 1⤋
I'm not sure if this is right but its what I would do. Square the whole problem which would give you 9/5.
2007-08-27 15:06:31 · answer #5 · answered by dangerousMuse 1 · 0⤊ 0⤋
hmm..
3/(square root of 5)
if you need to simplify by moving the suare root to the top;
you can say that:
3* (square root of 5)
----------------------------
5
not sure if this is the one you're looking for, but if you're looking for a number, there's always the calculator..hehe
2007-08-27 15:11:18 · answer #6 · answered by toffer 3 · 0⤊ 0⤋
the answer is 3square root of 5 over 5
2007-08-27 15:03:47 · answer #7 · answered by ill make music to you 2 · 0⤊ 1⤋
well, you're not alloud to leave a radical in the denominator
so you simplify by multiplying by a form of one (i.e. root5 over root5) that gives you 3 times the square root of 5 all over 5
2007-08-27 15:02:40 · answer #8 · answered by Ozymandius 3 · 0⤊ 3⤋
Yeah, teachers don't like irrational numbers in the denominator. So, we shall "rationalize" it.
3/rt5 X rt5/rt5
=3rt5/5
That's my take on this question.
It's possible they want an answer, in which case there is no need to do what I just did
3/rt5=3/2.2361 =1.3416
2007-08-27 15:07:32 · answer #9 · answered by Grampedo 7 · 0⤊ 0⤋
it cannot be simplified. the numerator is an odd number it has no other factor except itself and one. in the denominator the radicand is prime and the index is even so it can't be simplified.
2007-08-27 17:15:50 · answer #10 · answered by Shy_girl 1 · 0⤊ 0⤋
Multiply that by sqrt(5) / sqrt(5)
2007-08-27 15:03:25 · answer #11 · answered by dtsairman 3 · 0⤊ 0⤋