16Hit 1600
Advanced MathMediumRadical equation hiding a square

Advanced Math practice question

If √(x² + 9) = 5 and x > 0, what is the value of x?

Answer: 4

Square both sides: x² + 9 = 25, so x² = 16 and the positive solution is x = 4.

Common wrong answers

If you answered 2
Subtract 9 from 25 before rooting: x² = 16, so x = 4.
If you answered 16
16 is x²; take its square root.
If you answered 5.83
Do not subtract 9 from 5; square first: x² + 9 = 25.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.