91Ó°ÊÓ

Solve: \(2(3 x-1)-4=2 x-(6-x)\)

In Exercises \(105-112,\) add or subtract as indicated. Begin by rationalizing denominators for all terms in which denominators contain radicals. $$\sqrt[4]{8}-\frac{20}{\sqrt[3]{2}}$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I multiply \(n\) th roots by taking the \(n\) th root of the product of the radicands.

In Exercises \(79-112\), use rational exponents to simplify each expression. If rational exponents appear after simplifying. write the answer in radical notation. Assume that all variables represent positive numbers. $$\sqrt[5]{\sqrt[3]{2 x}}$$

In Exercises \(101-108,\) perform the indicated operation(s) and write the result in the form \(a+b i\) $$\frac{i^{8}+i^{40}}{i^{4}+i^{3}}$$

Explain how to find the domain of a square root function.

In Exercises \(79-112\), use rational exponents to simplify each expression. If rational exponents appear after simplifying. write the answer in radical notation. Assume that all variables represent positive numbers. $$(\sqrt[4]{x^{3} y^{5}})^{12}$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I need to know how to factor a trinomial to simplify \(\sqrt{x^{2}-10 x+25}\).

In Exercises \(105-112,\) add or subtract as indicated. Begin by rationalizing denominators for all terms in which denominators contain radicals. $$\sqrt{6}-\sqrt{\frac{1}{6}}+\sqrt{\frac{2}{3}}$$

$$\text { Let } f(x)=x^{2}-2 x+2 . \text { Find } f(1+i)$$