90.100•√100000

To solve the expression \( 90.100 \times \sqrt{100000} \), we start with the square root: \[ \sqrt{100000} = \sqrt{10^5} = 10^{5/2} = 10^2 \times \sqrt{10} = 100 \times \sqrt{10} \] Next, we can write the original expression as: \[ 90.100 \times \sqrt{100000} = 90.100 \times (100 \times \sqrt{10}) = 90.100 \times 100 \times \sqrt{10} \] Calculating \( 90.100 \times 100 \): \[ 90.100 \times 100 = 9010 \] So now we have: \[ 9010 \times \sqrt{10} \] Using \( \sqrt{10} \approx 3.162 \) (approximately), we can calculate: \[ 9010 \times 3.162 \approx 28493.62 \] Thus, the final result is approximately: \[ 28493.62 \]