Question

√22201 + √222.01 + √2.2201 = ?

• A. 165.39
• B. 149.95
• C. 225.75
• D. 315.15

Hint:

Recognise the algebraic identity for the difference and sum of cubes in each fraction.

Answer 1

The Correct Option is A

Since \(22201 = 149^2\), it follows that \(\sqrt{22201} = 149\). Because 222.01 is just 22201 scaled down by a factor of 100, its square root is \(149/\sqrt{100} = 14.9\). Similarly, since 2.2201 is 22201 scaled down by 10,000, its square root is \(149/100 = 1.49\).
Adding these together: \(149+14.9+1.49=165.39\), matching option 1.