Respuesta :

This is equivalent to finding the real solutions to [tex]x^2=36.[/tex] Thankfully, both roots of this quadratic are real; they are -6 and 6.

The indicated real roots of a are -6 and 6 and this can be determined by using the arithmetic operations and the given data.

Given :

  • n = 2
  • a = 36

The value of n is given that is 2 which means it is a quadratic equation. The following steps can be used to determine the roots of 'a':

Step 1 - First write the equation whose nth roots have to be found out.

[tex]x^n = a[/tex]

Step 2 - Put the value of 'n' in the above expression.

[tex]x^2 = a[/tex]

Step 3 - Now, put the value of 'a' in the above expression.

[tex]x^2 = 36[/tex]

Step 4 - Take the square root on both sides of the above expression.

[tex]x = \sqrt{36}[/tex]

Step 5 - Simplify the above expression.

[tex]x = -6,6[/tex]

So, the indicated real roots of a are -6 and 6.

For more information, refer to the link given below:

https://brainly.com/question/13101306