Question

The value of $\sqrt{1234321} =$

• A. 1219
• B. 121
• C. 139
• D. 1111

Answer 1

Answer:

D. 1111

The value of the given expression is 1111.

$\sqrt{1234321}$

1. Observe the pattern of squaring numbers consisting only of 1s:

   • $11^2 = 121$ (peaks at 2, so two 1s)

   • $111^2 = 12321$ (peaks at 3, so three 1s)

   • $1111^2 = 1234321$ (peaks at 4, so four 1s)

2. Determine the square root:

   • Since the number increases up to 4 ($1 \rightarrow 2 \rightarrow 3 \rightarrow \mathbf{4} \rightarrow 3 \rightarrow 2 \rightarrow 1$), its square root consists of exactly four 1s.

   • Therefore: $\sqrt{1234321} = \mathbf{1111}$