What is the answer to sqrt(15+8i)=a+bi ?

The answer to sqrt(15+8i)=a+bi is a=4,b=1

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sqrt(15+8i)=a+bi

15 + 8 i = a + bi

a = 4, b = 1

Solution steps

15 + 8 i = a + bi

Simplify

15 + 8 i : 4 + i

4 + i = a + bi

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[4 = a 1 = b]

[4 = a 1 = b] : a = 4, b = 1

a = 4, b = 1

x^{2} + x (1 + i) + 1 = 0

(3 a + 2 i) - (5 - 2 bi) = 2 - 6 i

x^{2} - (1 + 2 i) x + (2 + i) = 0

\frac{5 + 2 i}{z} = 2 - i

\frac{( x + i y )}{( x - i y )} = - i

What is the answer to sqrt(15+8i)=a+bi ?
The answer to sqrt(15+8i)=a+bi is a=4,b=1