Write the number in the form a+bi
sqrt(-4) + 10
????? Please help!
sqrt(-4) = 2 sqrt(-1) = 2 i
so we are talking about
10 + 2 i
To write sqrt(-4) + 10 in the form a+bi, we need to simplify the expression.
First, let's calculate the square root of -4. The square root of a negative number is not a real number, but we can express it using the imaginary unit i, where i = sqrt(-1).
sqrt(-4) = sqrt(4 * -1) = sqrt(4) * sqrt(-1) = 2 * i = 2i
Now we can rewrite the expression sqrt(-4) + 10:
2i + 10
This is in the form a+bi, where a = 10 and b = 2.
So, sqrt(-4) + 10 can be written as 10 + 2i.