Question

Encuentra la raíz cuadrada de -8+6i

Answer 1

Heya !
_____

→Encuentra la raíz cuadrada de - 8 + 6i

Or

→Find the square root of -8+6i


=> Its a Complex number . So first let's know what is a complex Number .

★A number of the form a + ib is called a complex Number . Here 'a' represents the real part and b represents the imaginary part .
______________________________


→ Now let's move to our question!


=> Square root of ( -8 + 6i )


=> ( -8 + 6i)²


°•° Use the identity (a + b)² = a² + b² + 2ab

=> ( -8 + 6i )² = (-8)² + (6i)² + 2 × (-8) × (6i)

=> 64 + 36i² - 96i

=> 64 - 36 - 96i [ as i² = -1 ]


=>28 - 96i


★Hence the square root is → 28 - 96i ✔

$....$

_________________________________________________________

Answer 2

HIII.....

HERE IS YOUR ANSWER:--------


(-8 +6i)^2

USING THE IDENTITY = (a+b)^2

WE GET,

(-8+6i)^2=(-8) ^2+(6i) ^2 +(-8)×(6i)
== 64+ 36i^2 -96i
==64-36-96
==28-96i

THEREFORE, THE SQUARE ROOT IS 2I-96i

HOPE THIS HELPS YOU.......

BE ALWAYS HAPPY AND SMILING......