\sqrt{600} = \sqrt{100 \times 6} = 10\sqrt{6} \approx 10 \times 2.449 = 24.49

Tue, 05 May 2026 23:33:31 +0000

Understanding √600: Simplifying √(100 × 6) for Accurate Estimation When faced with the square root of 600 (√600), many people look for quick ways to simplify the calculation without a scientific calculator. A useful mathematical shortcut involves breaking down the number under the radical using factorization — specifically, expressing 600 as 100 × 6. This allows us to simplify √600 into a more manageable form: √600 = √(100 × 6) = 10√6 This step leverages the fundamental square root property that says √(a × b) = √a × √b, making the expression far easier to evaluate.