Can a ratio have surds?

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Solution

Yes it is possible to have such ratios:

$\frac{\sqrt[3]{4}}{\sqrt[5]{2}}, \frac{\sqrt{2}}{\sqrt[5]{3}} etc .$

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Similar questions

Like surds are those surds which have same radicand but different order.

When two quadratic surds are multiplied and the resultant is a rational number. Those surds are like surds.

\sqrt{52}, 5 \sqrt{13}

\sqrt{68}, 5 \sqrt{3}

4 \sqrt{18}, 7 \sqrt{2}

19 \sqrt{12}, 6 \sqrt{3}

5 \sqrt{22}, 7 \sqrt{33}

5 \sqrt{5}, \sqrt{75}

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Which of the following surds is/are pure surds?

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