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980 can be expressed as 49 x 4 x 5
So instead of finding the square root of 980 we are now looking for the square root of 49 x 4 x 5.
√(49 x 4 x 5) = √49 x √4 x √5.
√49 = 7 : √4 = 2. The answer now is 7 x 2 √5 = 14√5.
√5 = 2.2361 (4dp) : The final answer is 14 x 2.2361 = 31.305 (3dp)
NOTE : By factoring a number you may find that one or more of the factors is a square number. The square root of that factor can then be easily determined leaving a smaller number for which the square root needs to be found.
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