+23248 As a decimal approximation, √896 ≈ 29.93.
If you want your answer in simplest radical form, find a perfect square (4, 9, 16, 25, 36, 49, 64, 81, ...) that divides into 896 evenly (no remainder):
896 ÷ 4 = 224
224 ÷ 4 = 56
56 ÷ 4 = 14
(14 cannot be divided evenly by any perfect square, so stop)
There have been three successful divisions by 4,
So, 896 = 4 x 4 x 4 x 14
---> √896 = √4 x V4 x V4 x √14 = 2 x 2 x 2 x √14 = 8 x √14 = 8√14
+23248 As a decimal approximation, √896 ≈ 29.93.
If you want your answer in simplest radical form, find a perfect square (4, 9, 16, 25, 36, 49, 64, 81, ...) that divides into 896 evenly (no remainder):
896 ÷ 4 = 224
224 ÷ 4 = 56
56 ÷ 4 = 14
(14 cannot be divided evenly by any perfect square, so stop)
There have been three successful divisions by 4,
So, 896 = 4 x 4 x 4 x 14
---> √896 = √4 x V4 x V4 x √14 = 2 x 2 x 2 x √14 = 8 x √14 = 8√14
