What's the square root of -10?

Answered question

2022-01-17

What's the square root of -10?

Answer & Explanation

nick1337

nick1337

Expert2022-01-17Added 777 answers

Step 1
The square root of -10 is a complex number, which is expressed as
i10
This is because
i2=1
and
10=1×10
so we can express
1 as i

star233

star233

Skilled2022-01-17Added 403 answers

Step 1
In the domain of real numbers, this would be invalid, but in the domain of complex numbers
10=i10=3.16227766017i

alenahelenash

alenahelenash

Expert2022-01-24Added 556 answers

Step 1 Square root of -10 is a complex number Complex numbers consist of Real numbers and an Imaginary number denoted as i. We say it is imaginary because we use it to solve the impossible equation i2=1 Therefore to solve for the square root of a negative number you multiply the square root of -1 (denote by i) by the square root of the positive (or absolute) value of the negative number. Hence, H10= equals (i) times 10

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