Let's break down each of the expressions individually:

76) $\sqrt{x - 1}$: This represents the square root of the expression $x - 1$, which means:

$\sqrt{x - 1} = (x - 1)^{1/2}$

77) $\sqrt{3x - 4}$: This represents the square root of the expression $3x - 4$, which means:

$\sqrt{3x - 4} = (3x - 4)^{1/2}$

78) $\sqrt[4]{x}$: This represents the fourth root of $x$, which means:

$\sqrt[4]{x} = x^{1/4}$

79) $\sqrt[3]{x - 1}$: This represents the cube root of the expression $x - 1$, which means:

$\sqrt[3]{x - 1} = (x - 1)^{1/3}$

80) $\sqrt{x}$: This represents the square root of $x$, which is the same as $x$ raised to the power of $1/2$:

$\sqrt{x} = x^{1/2}$

Each of these expressions involves fractional exponents, indicating roots of various degrees.

Would you like further details or have any questions?

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Here are 5 related questions to expand your understanding:

1. How do you differentiate $\sqrt{x - 1}$ with respect to $x$?
2. What is the domain of the function $\sqrt{3x - 4}$?
3. How do you solve the equation $\sqrt[4]{x} = 2$?
4. What is the simplified form of $(\sqrt[3]{x - 1})^3$?
5. How does $\sqrt{x}$ behave as $x \to 0$?

Tip: When solving equations with roots, always check if extraneous solutions are introduced by squaring both sides!