What is the square root of -441?

√(-441)=21i answer//

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).

√(-441)
= √(-1 * 441)
= √(i^2 * 21^2)
= 21i

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.

sqrt (-411) = sqrt (411 * (-1)) = sqrt (411) * sqrt (-1) = 21 * i = 21i

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.

Square Root Of 441

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RE:
What is the square root of -441?

An imaginary number 21iota

the negative numbers don't have any square.