write the only 3 digit whole number, which are both a perfect square and a perfect cube.

Open in App

Solution

Dear Student

The number is 729.

729 = 9³ = 27²

3⁶= (3²)³ = 9³

3⁶ = (3³)²= 27²

Regards

Suggest Corrections

Similar questions

If a number is both perfect square and perfect cube, then it will have a sixth root which is a natural number.

Column I	Column II
Greatest 3 digit perfect square	$1, 024$
Smallest 5 digit perfect square	$9, 801$
Smallest 3 digit perfect square	$961$
Greatest 4 digit perfect square	$10, 000$
Smallest 4 digit perfect square	$100$

Join BYJU'S Learning Program