Which notation is used to explicitly denote both the principal root and the negative root of $x$ simultaneously?

Simplify the expression for any real number $x$: $\sqrt{(x-1{)}^2}$

Simplify the expression fully, assuming $x$ is any real number: $\sqrt[4]{81x^8}$

Expand and fully simplify $\sqrt{80}$ into a product of an integer and a radical.

Simplify the expression $\sqrt{x^5}$, assuming $x\ge 0$.

Evaluate $\sqrt[7]{128}$ and simplify the result.

Which statement is true about adding radicals with different indices (for example, √5 and ∛5)?

Simplify the expression: $2\sqrt[3]{16}+\sqrt[3]{2}$

Simplify the expression completely: $2\sqrt{98}-5\sqrt{8}+\sqrt{2}$

Simplify: $\sqrt{50}\cdot \sqrt{8}$

Simplify by grouping like factors: $2a\sqrt{3}\cdot 3b\sqrt{12}$

Which rationalization strategy should you use for $\frac{1}{\sqrt{5}+\sqrt{7}}$ and why?