16Hit1600
Advanced MathHardSimplifying a difference of radicals

Advanced Math practice question

For x > 0, √(50x²) − √(8x²) = k·x√2, where k is a constant. What is the value of k?

Answer: 3

√(50x²) = 5x√2 and √(8x²) = 2x√2, so the difference is 3x√2.

Common wrong answers

If you answered 1
1 uses √50 − √8 as √2.
If you answered 7
7 adds 5 and 2.
If you answered 42
42 subtracts inside the radicals.

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