Find the indicated real n th root(s) of a . n=4,a=81 The roots are square and square

To find the indicated real nth root(s) of a, we need to find the 4th root of 81.<br /><br />The 4th root of a number is the number that, when raised to the power of 4, gives the original number. In other words, if we raise the 4th root of 81 to the power of 4, we should get 81.<br /><br />Let's denote the 4th root of 81 as x. Then, we have:<br /><br />x^4 = 81<br /><br />To solve this equation, we can take the square root of both sides:<br /><br />√(x^4) = √81<br /><br />x^2 = 9<br /><br />Now, we can take the square root of both sides again:<br /><br />√(x^2) = √9<br /><br />x = 3<br /><br />Therefore, the 4th root of 81 is 3.<br /><br />So, the roots are 3 and 3.