Multiple choice

Find the approximate value of (6.06)2 - 30.75.

  1. 4

  2. 6

  3. 8

  4. 9
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

6.06^2 is approx 36. 36 - 30.75 = 5.25. The closest integer is 6.

AI explanation

Using the approximation $(a + b)^2 \approx a^2 + 2ab$ for small $b$, we can evaluate $(6.06)^2$ by setting $a = 6$ and $b = 0.06$. This gives $(6 + 0.06)^2 \approx 36 + 2(6)(0.06) = 36 + 0.72 = 36.72$. Subtracting $30.75$ from $36.72$ yields $5.97$, which rounds to an approximate value of $6$.

Keep practicing — related questions