Which of the following is closest to √2.3 * 10⁹?

Which of the following is closest to √2.3 * 10⁹?

Explanation

Given:

√(2.3 × 10⁹)

Break it down:

= √(2.3) × √(10⁹)

≈ 1.52 × 10⁴ × √10³ (since 10⁹ = 10⁶ × 10³ and √(10⁶) = 10³)

≈ 1.52 × 10⁴ × 31.62

≈ 48000

Among the given options:

50000