Concept explainers
To describe: The difference between an exact value and an approximation when finding square roots of numbers that are not perfect squares.
Explanation of Solution
Given: A number to find exact and approximation of square root.
Let the non-perfect square number be x
For example,
Each non-perfect lie between two perfect square number.
For number 59 lie between 49 and 64
So,
The approximate value lie between the square root of 49 and 64 i,e 7 and 8.
59 is nearer to 64 as compare to 49. So, approximate value must be near to 8.
Square root of 59,
Difference in correct and approximate value,
Here, got some difference because 57 is not perfect square number.
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