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Surds

State which o...

Question

State which of the following are surds. Justify

\sqrt[3]{51}

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\sqrt[4]{16}

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\sqrt[4]{81}

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\sqrt{256}

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Solution

The correct option is D $\sqrt[3]{51}$
Surds are numbers left in root form to express its exact value.

As $\sqrt[3]{51}$ cannot be expressed without root form. Hence, it is a surd.

Also, $\sqrt[4]{16} = 2, \sqrt[4]{81} = 3, \sqrt{256} = 16$ . So, they are not surd.

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