Concept explainers
To find: the possibilities for the ending digit of a number that has a whole number square root.
Answer to Problem 42HP
Number | 1001 | 1002 | 1003 |
Square root | 31.64 | 31.65 | 31.67 |
Explanation of Solution
Given information:
Write three numbers between 1000 and 2000 that are not perfect squares.
Calculation:
If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since
Thus if any number is such that it is a square of any other number then its square root will be a whole number.
The number 1001,1002 and 1003 are such that their square root is not a whole number. Hence they are not perfect squares.
Number | 1001 | 1002 | 1003 |
Square root | 31.64 | 31.65 | 31.67 |
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