Simplify. 8√200-3√162

The answer is 53root2 because The answer is 53root2 because 8root200 is simplified to 80root2 and 3root162 is simplified to 27root2 and if you subtract these two values you get 53root2 (sry I don't have a root symbol)

53√2

using the ' law of radicals '

√a * √b = √ab

simplifying the radicals

√200 = √ (100 * 2) = √100 * √2 = 10√2

√162 = √ (81 * 2) = √81 * √2 = 9√2

8 (10√2 - 3 (9√2) = 80√2 - 27√2 = 53√2