+10 hey this is weird sqrt(20)=4.4731359549995794 i thought it would be more simpler
+118654 $${\sqrt{{\mathtt{20}}}}$$ is called an irrational number. That means that it cannot be expressed as a fraction or as a decimal.
Ansy answer that your calculator gives you is just an estimate. All the digits on your calculator will be used up because the digits just keep going on for ever and there is never any pattern.
You can simplify it to
$${\sqrt{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{5}}}} = {\mathtt{4.472\: \!135\: \!954\: \!999\: \!579\: \!4}}$$
$${\sqrt{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{5}}}} = {\mathtt{4.472\: \!135\: \!954\: \!999\: \!579\: \!4}}$$
$${\mathtt{2}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{5}}}} = {\mathtt{4.472\: \!135\: \!954\: \!999\: \!579\: \!4}}$$
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You will find sqrt(1),(4),(9),(16),(27),(36),(49),(64),(81) simple. No other square roots under 100 is as simple as those listed above.
+118654 $${\sqrt{{\mathtt{20}}}}$$ is called an irrational number. That means that it cannot be expressed as a fraction or as a decimal.
Ansy answer that your calculator gives you is just an estimate. All the digits on your calculator will be used up because the digits just keep going on for ever and there is never any pattern.
You can simplify it to
$${\sqrt{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{5}}}} = {\mathtt{4.472\: \!135\: \!954\: \!999\: \!579\: \!4}}$$
$${\sqrt{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{5}}}} = {\mathtt{4.472\: \!135\: \!954\: \!999\: \!579\: \!4}}$$
$${\mathtt{2}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{5}}}} = {\mathtt{4.472\: \!135\: \!954\: \!999\: \!579\: \!4}}$$
