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2√45 + 3√20 / 2√5

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2√45 + 3√20 / 2√5

Posted by The One 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 11 months ago

Given ,

{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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