find the sqare root of 4ab-2(a2-b2)i

Hi StudentReal Part of Above Complex Number is x= 4abImaginary Part of Above Complex Number is y=-2(a2-b2)Such that z= x+ iyNow Calculating Square root of Complex Number = = ± ( where Re(z) means real part of z and |z| means modulus of zSubstitue the values in the above formula and you can get the answer.

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Grade 11Algebra

find the sqare root of 4ab-2(a²-b²)i

Yash Shrivastava

11 Years agoGrade 11

1 Answer

Harsh Patodia

11 Years ago

Hi Student

Real Part of Above Complex Number is x= 4ab
Imaginary Part of Above Complex Number is y=-2(a²-b²)
Such that z= x+ iy
Now Calculating Square root of Complex Number
$\sqrt{z}$ = $\sqrt{x+iy}$ = ± ( $\sqrt{(|z| + Re(z))/2 } - i\sqrt{(|z|-Re(z))/2}$
where Re(z) means real part of z and |z| means modulus of z

Substitue the values in the above formula and you can get the answer.