Deductive reasoning. You know that the square root of 484 will be between 20 and 30, closer to 20. You know that numbers ending in 2 will create a product ending in 4. You test 22. It works. Everyone is happy.
Chat with our AI personalities
The square root of 484 is 22.
Find the factors of 484484= (4)(121)Square root of (484) = Sq. root (4 x 121) = Sq. root (4) x sq. root of (121) = 2(11) = 22
Negative numbers can't be squared rooted but the positive square root of 484 is 22
The square root of 484 is 22. An easy trick to find this out is to round down to the nearest large whole number. In this case, that is 400, the square root of which is 20. If 20 x 20 = 400, what does 21 x 21 equal? Turns out that's 441. Move up to 22 x 22. There you have your answer!
Find the square root of each of its components, and muliply them together. For example, 36x8 the square root of 36 is 6 the square root of x8 is x4 so the square root of 36x8 is 6x4