Is the number -6 a surd-

For the number nbsp;√(6) to be surd, 6 must not be written as a perfect cube of any positive number. nbsp; 6 cannot be written as a perfect cube of any posi ...

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Byju's Answer

Standard VIII

Mathematics

Checking Whether nth Root of a Number is a Surd or Not

Is the number...

Question

Is the number $\sqrt[3]{6}$ a surd?

yes

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Solution

The correct option is A yes
For the number $\sqrt[3]{6}$ to be surd, 6 must not be written as a perfect cube of any positive number.
6 cannot be written as a perfect cube of any positive number.
So, $\sqrt[3]{6}$ is an irrational number which is a surd.

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Similar questions

Q. Express the following surds as pure surds.

\frac{4}{3} \sqrt{6}

\sqrt{3}

into a surd of order 6 is

Q. Convert

\sqrt{3}

into a surd of order

6

Q. Compare the following pair of surds:

\sqrt[3]{2}, \sqrt[6]{3}

Q. Sum of a rational number and a surd is a ______ surd.

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Is the number 3√6 a surd?

The correct option is A yesFor the number 3√6 to be surd, 6 must not be written as a perfect cube of any positive number. 6 cannot be written as a perfect cube of any positive number. So, 3√6 is an irrational number which is a surd.

Is the number $\sqrt[3]{6}$ a surd?

The correct option is A yes
For the number $\sqrt[3]{6}$ to be surd, 6 must not be written as a perfect cube of any positive number.
6 cannot be written as a perfect cube of any positive number.
So, $\sqrt[3]{6}$ is an irrational number which is a surd.