This is a really basic question that I don't know why I'm not getting. So from my understanding, a=b is defined as a=>b and b=>a.(adsbygoogle = window.adsbygoogle || []).push({});

So say a^2=c and a=c^(1/2)

so which implies which?

Say I start from a=c^(1/2)

I square both sides and I get a^2=c. So a=c^(1/2) => a^2=c.

But if I start from a^2=c, by taking the square root of both sides, I get a=c^(1/2) & -c^(1/2)

But since I got a=c^(1/2) among one of them, I have shown that a=c^(1/2) is still implied by a^2=c.

So a^2=c <=> a=c^(1/2)

Which is clearly not true. they are not the same b/c by taking the square root of both sides we get a=+ or -c^(1/2). Is there something wrong with my reasoning?

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# Confused about the difference between equivalence and implication

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