Multiple choice

The next term of the series $\sqrt{3},\,\sqrt{12}, \,\sqrt{27}$ is:

  1. $\sqrt{39}$
  2. $\sqrt{32}$
  3. $\sqrt{54}$
  4. $\sqrt{48}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Terms are sqrt(3), 2*sqrt(3), 3*sqrt(3). The next term is 4*sqrt(3) = sqrt(16*3) = sqrt(48).

AI explanation

The given series is sqrt(3), sqrt(12), and sqrt(27). By simplifying the radicals, the sequence becomes sqrt(3), 2sqrt(3), and 3sqrt(3). This is an arithmetic progression with a common difference of sqrt(3), so the next term is 4sqrt(3). Since 4sqrt(3) is equal to sqrt(48), the next term in the series is sqrt(48).

Keep practicing — related questions