Hints and solutions to
Problem of the day for Friday, January 10

Solve for x:

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• To solve this one, you have to patiently "unwind" the square roots starting from the outermost.
• So first we square both sides to get
  

• Next we subtract 1 from both sides to get
  

• Square both sides again, and subtract 3 from both sides to get
  

• Now square both sides again and subtract 1 from both sides to get
  

• Once more, square both sides and subtract 2 from both sides to get
  

• So finally, we get x = 62² = 3844.
• It couldn't hurt to check this! Substitute for x and see if it works!

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