Question

1. solve: (sqrt3{x} - 4 = 3) (2 pts)

Explanation:

Step1: Isolate the cube root term

Add 4 to both sides of the equation $\sqrt[3]{x}-4 = 3$ to get $\sqrt[3]{x}=3 + 4$.
Simplifying the right side gives $\sqrt[3]{x}=7$.

Step2: Eliminate the cube root

Cube both sides of the equation $\sqrt[3]{x}=7$ to solve for $x$.
Using the property $(\sqrt[3]{a})^3=a$, we have $x = 7^3$.
Calculating $7^3$, we get $x = 343$.

Answer:

$x = 343$