1.

Find square root of 2-2√3i

Answer»

The answer is GIVEN below :

Given COMPLEX number is (2 - 2√3i) and we need to find the square root.

Now, 2 - 2√3i

= (3 - 1) - 2√3i

= 3 - 2√3i - 1

= (√3)² - (2 × √3 × i) + (i)², SINCE i² = -1

= (√3 - i)²

So, √(2 - 2√3) = ± (√3 - i).

IDENTITY USED :

(a - B)² = a² - 2ab + b²

Thank you for your question.


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