Question

If the cube of a squared number is 729, find the square root of that number.​

Answer 1

Answer:

3

Step-by-step explanation:

3✓729=3✓9×9×9=9

✓9=✓3×3= 3

Answer 2

The square root of the squared number whose cube is 729 is 3

• Let the square root of the number be x.
• Square of the number is $x^{2}$.
• Cube of squared number is $(x^{2})^{3}$
• Given,

              $(x^{2})^{3}=729$

              $x^{2}=\sqrt[3]{729}$

              $x^{2}=\sqrt[3]{9*9*9}$

              $x^{2}=\sqrt[3]{9^{3}}$

              $x^{2}=9$

              $x=\sqrt{9}$

              $x=\sqrt{3*3}$

              $x=\sqrt{3^{2}}$

              $x=3$

∴ The square root of the number the cube of whose square is 729 is 3.