Math, asked by shivaniammu96, 1 year ago

Ramu says the set A ={x:x€ R, x2 = -2} is not a empty set ? Do you agree with him ? Justify the answer

Answers

Answered by HappiestWriter012
10
No. I don't agree with Ramu.

x² = -2

x =√2i

√2i isn't a real number. Hence A ={ Ø }

Therefore, the set A is empty.
Answered by snehitha2
6
I don't agree with Ramu.

A = {x:x€R , x² = -2}

x² = -2
x = √-2
x = √2i

Ramu said that x belongs to real number. But here, x is not a real number.

So, A = { }

Set A is an empty set.
Therefore, I don't agree with him.
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