What is the square root of -441?
回答 (10)
2010-03-04 2:54 pm
✔ 最佳答案
√(-441)=21i answer//
2010-03-04 3:11 pm
The square root of a negative number always is an imaginary number represented by lower case i. If you don't have one of those expensive $100 plus calculators that can handle complex (imaginary) numbers, you can find the square root easy enough with a regular pocket calculator. You do this by entering into your calculator the positive number and not the negative number, in this case 441 then hit the square root button. It will then spit out the square root of the number which is 21, put the little i on the end and you have the square root of -441.
If you do have one of those expensive calculators you would enter the square root button then the negative number and hit enter. The out put will look something like this (0,21).
If you do have one of those expensive calculators you would enter the square root button then the negative number and hit enter. The out put will look something like this (0,21).
2010-03-04 3:01 pm
√(-441)
= √(-1 * 441)
= √(i^2 * 21^2)
= 21i
= √(-1 * 441)
= √(i^2 * 21^2)
= 21i
2010-03-04 3:00 pm
sq rt (- 441)
= sq rt [441* (-1)]
= sq rt[441] * i where i = sq rt (-1)
= 21i
Since the general form of a complex num ber is a + bi 21i corresponds to 0 + 21i but we would not usually write the 0.
= sq rt [441* (-1)]
= sq rt[441] * i where i = sq rt (-1)
= 21i
Since the general form of a complex num ber is a + bi 21i corresponds to 0 + 21i but we would not usually write the 0.
2010-03-04 2:53 pm
sqrt (-411) = sqrt (411 * (-1)) = sqrt (411) * sqrt (-1) = 21 * i = 21i
2010-03-04 2:58 pm
since sqrt (-441) is sqrt(-1)*sqrt(441) which gives sqrt(-1)*21, and since sqrt(-1) is i in complex number's definition, we have 21i as the final answer.
2015-08-17 12:45 am
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RE:
What is the square root of -441?
RE:
What is the square root of -441?
參考: square root 441: https://shortly.im/fAupi
2010-03-04 2:58 pm
An imaginary number 21iota
2010-03-04 2:53 pm
the negative numbers don't have any square.
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