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Identifying Perfect Square Numbers by Observing Their Last Digit

What are surd...

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What are surds

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Solution

Surds are numbers left in 'square root form' (or 'cube root form' etc). They are therefore irrational numbers.

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Q. What are unlike surds? Give one example.

Q. What are like surds and unlike surds? Identify and write the set of like surds in the following groups:
a) {

\sqrt{8}, \sqrt{12}, \sqrt{20}, \sqrt{54}

\sqrt{50}, \sqrt[3]{54}, \sqrt[4]{32}

\sqrt{8}, \sqrt{18}, \sqrt{32}, \sqrt{50}

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

Q. All surds are irrational but not all rational numbers are surds.

Which of the following surds is/are pure surds?

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