Chapter 6.4, Problem 25MCQ

To determine

The value of the expression $\sqrt{{\left(x^4+3\right)}^{12}}$ .

Answer to Problem 25MCQ

The value of the expression $\sqrt{{\left(x^4+3\right)}^{12}}$ is ${\left(x^4+3\right)}^6$ .

Explanation of Solution

Given information: The given expression is $\sqrt{{\left(x^4+3\right)}^{12}}$ .

Calculation: The value of the expression $\sqrt{{\left(x^4+3\right)}^{12}}$ is evaluated as,

  $\begin{array}{c}\sqrt{{\left(x^4+3\right)}^{12}}={\left(x^4+3\right)}^{\frac{12}{2}}\\ ={\left(x^4+3\right)}^6\end{array}$