Real numbers, irrationals, decimal expansions, laws of exponents and surds.
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Q1 · Number System · EASY
What is the value of (5^3 × 5^2) / 5^4?
Q2 · Number System · MEDIUM
The decimal expansion of the rational number 7/8 will terminate after how many places of decimal?
Q3 · Number System · MEDIUM
Simplify: (√3 + √2) / (√3 - √2)
Q4 · Number System · HARD
If x = (2 + √3), then what is the value of x^2 + (1/x^2)?
Q5 · Number System · EASY
What is the smallest four-digit number that is divisible by both 12 and 15?