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Mathematics

Find a rational number and an irrational number between 3\sqrt{3} and 5\sqrt{5}.

Rational Irrational Nos

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Answer

Consider the squares of 3\sqrt{3} and 5\sqrt{5}

(3)2(\sqrt{3})^2 = 3 and (5)2(\sqrt{5})^2 = 5

Here, 4 is rational number between 3 and 5

4\sqrt{4} = 2 is rational number between 3\sqrt{3} and 5\sqrt{5}.

Irrational number between 3\sqrt{3} and 5\sqrt{5} = 3+52\dfrac{\sqrt{3} + \sqrt{5}}{2}

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