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What is the simplest form of \(\sqrt{27}+\sqrt{12}\)?\(\sqrt{27}+\sqrt{12}\) का सरलतम रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(5\sqrt{3}\)\(5\sqrt{3}\)
Since \(27=9\times3\) and \(12=4\times3\), we have \(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding these like surds gives \(3\sqrt{3}+2\sqrt{3}=5\sqrt{3}\), so option A is correct.क्योंकि \(27=9\times3\) और \(12=4\times3\), इसलिए \(\sqrt{27}=3\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\)। समान करणी पदों को जोड़ने पर \(3\sqrt{3}+2\sqrt{3}=5\sqrt{3}\) मिलता है, इसलिए विकल्प A सही है।
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