Radical Equations Quick Check

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Question
What is the first step to take to solve the radical equation 12+x4−10−−−−−−√=8
?(1 point)
Responses

Raise both sides of the equation to the second power.
Raise both sides of the equation to the second power.

Add 10 to both sides of the equation.
Add 10 to both sides of the equation.

Add 12 to both sides of the equation.
Add 12 to both sides of the equation.

Subtract 12 from both sides of the equation.

1 answer

To solve the radical equation \( \sqrt{12 + x^4 - 10} = 8 \), the first step is to isolate the square root on one side, which is already done here. To eliminate the square root, you need to raise both sides of the equation to the second power.

So, the correct response is:

Raise both sides of the equation to the second power.