Can someone please tell me why (√-1)² equals to -1 , since (√-1)² equals to √-1 × √-1 = √1 I just can't understand

Chris Burrows asked Jan 20, 2023

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9 votes

Can someone please tell me why (√-1)² equals to -1 , since (√-1)² equals to √-1 × √-1 = √1

I just can't understand

Chris Burrows asked Jan 20, 2023

3.2k points

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7 votes

The rule
√(ab)=√(a)√(b) does not always hold when extending the square root function to
$\mathbb{C}$ .

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