2√45 + 3√20 / 2√5

1.	2√45 + 3√20 / 2√5
Answer» Given ,\xa0{tex}{\\frac{2\\sqrt{45}+3\\sqrt{20}}{2\\sqrt{5}}} \\\\\\\\={\\frac{2\\sqrt{3\\times3\\times5}+3\\sqrt{2\\times2\\times5}}{2\\sqrt{5}}}\\\\\\\\={\\frac{2.3\\sqrt{5}+3.2\\sqrt{5}}{2\\sqrt{5}}}\\\\\\\\={\\frac{12\\sqrt{5}}{2\\sqrt{5}}}=6{/tex}Here you can see after simplifying we get 6 , according to definition of rational number [ a number , is in the form of P/Q, Q≠ 0 and P , Q ∈ I ] given number is rational number .

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