Advanced MathMediumRadical equations
Advanced Math practice question
If √(x + 5) = 4, what is the value of x?
Answer: 11
Square both sides to undo the square root: x + 5 = 16. Then x = 11. Always check: √(11 + 5) = √16 = 4. ✓
Common wrong answers
- If you answered 16
- You squared both sides correctly to get x + 5 = 16, but stopped there — subtract 5 to get x = 11.
- If you answered 21
- You squared correctly to get x + 5 = 16 but then added 5 instead of subtracting it; x = 16 − 5 = 11.
- If you answered -1
- You subtracted 5 from 4 instead of undoing the square root first. Square both sides: x + 5 = 16, so x = 11.
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