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.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.