Question

what is the order of surd ³√√5​

Answer 1

For example√2, √3, √5, √7, √x are the surds of order 2. Example: √2, √5, √10, √a, √m, √x, √(x + 1) are second order surd or quadratic surd (since the indices of roots are 2). (ii) A surd with index of root 3 is called a third order surd or cubic surd.

Answer 2

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that $\sqrt[3]\sqrt{5}$

To Find:-

We have to find that the order of surd $\sqrt[3]\sqrt{5}$

Solution:-

According to the problem

$\sqrt[3]{\sqrt{5}}=\sqrt[3 \times 2]{5}=\sqrt[6]{5}\therefore \text { Order }=6$

Final Answer:-

The correct answer is $6$.

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