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I wondered if it was possible, in an equation such as this one : $$ \sqrt{x} = \sqrt{1 + 2} $$ to transform it into something like this, removing both square roots : $$ x = 1 + 2 $$

Is this mathematically correct or not ?

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1 Answer

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Of course. If two numbers are equal, then so are their squares. So you can square the equation and keep the equality. And, by definition of square root $(\sqrt b)^2=b$ for any $b$ (we of course need $b\geq0$ for the root to be meaninful).

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