State which of the following are surds:

\sqrt{\sqrt[3]{27}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\sqrt{25}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{16}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{36}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\sqrt{\sqrt[3]{27}}$
Since, $\sqrt[3]{27} = 3$
Hence, $\sqrt{\sqrt[3]{27}} = \sqrt{3}$ , which is a Surd.
Options B, C and D can be given simplified to rational number, hence they are not surd

Suggest Corrections

Similar questions

\sqrt[3]{25}

\sqrt[3]{40}

\sqrt{25 + 36}, \sqrt{25} + \sqrt{36}

\frac{3}{4} \sqrt{8}

\sqrt[3]{64}

\sqrt[3]{8}

\sqrt[3]{7}

Join BYJU'S Learning Program