Problem 35 of 7
Create and solve a radical equation from context: A problem states that the square root of a number, when multiplied by 2, is 10. Find the number.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
model square-root relationship and check extraneous solutions.
Hidden until you reveal it.
Respect radical domain and check solutions after squaring.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Define the radical relationship and domain.
2. Isolate the radical if needed and square both sides.
3. Solve and substitute back to check.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Squared solutions that fail the original equation.