sqrt of -3 divided by sqrt of 25
how would I simplify
2007-12-29 04:33:13 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Hi,
..__
√-3
------- =
...__
√25
..._
i√3
------ <== ANSWER
..5
I hope that helps!! :-)
2007-12-29 04:38:59 · answer #1 · answered by Pi R Squared 7 · 1⤊ 1⤋
Hi,
For this question, you need to notice that the square root of -3 is not a perfect square and is not a real number. Therefore, the numerator becomes i times square root of 3.
Next, we now need to look at the denominator and remember that the square root of 25 is a real number, 5 and -5. (Remember: 5 x 5 = 25 AND -5 x -5 = 25). Now, we would notate this in the final answer using a + / - symbol.
Notice that I've simplified the numerator and denominator separately to get:
FINAL ANSWER: [ i sqrt. 3 ] / [ + / - 5 ]
I hope that helps you out! Please let me know if you have any other questions!
=)
2007-12-29 12:49:29 · answer #2 · answered by The VC 06 7 · 0⤊ 1⤋
Factor the radicand of â(-3) into â(-1*3), then take the square roots of the factors:
â(-3)/â25 = â(-1*3) / â25
= â(-1) * â3 / â25
= i â3 / 5
= (i/5)â3
2007-12-29 12:39:12 · answer #3 · answered by DWRead 7 · 1⤊ 1⤋
sqrt(-3) / sqrt(25) = sqrt(3)i / 5
2007-12-29 12:39:00 · answer #4 · answered by mohanrao d 7 · 1⤊ 1⤋
â-3 = â3i and â25 = 5 so the answer is â3i/5.
2007-12-29 12:41:31 · answer #5 · answered by steiner1745 7 · 0⤊ 2⤋
hah its 5... like everyone else said!!!
2007-12-29 12:41:26 · answer #6 · answered by surfergrrl101 3 · 0⤊ 4⤋