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Is the square root of 40 rational?
No - the square root of 40 is not a rational number. Rounded to ten decimal places, it is equal to 6.3245553203.
What number has a square root that is a factor for the product 40?
All numbers have square roots. You may have meant which factors of 40 are perfect squares. That's 1 and 4.
Why 81 have an odd number of factors and 40 have an even number of factors?
A number will have an odd number of factors if and only if one of those factors is the square root of the number. This is because any factor of a number you can find must pair up with another factor of that number, and multiply to give the number. The only exception is when the factor would be paired with itself. In other words, be the square root. 81 is a square number, and so the factor 9 (square root of 81) will not pair with any other factor, meaning 81 will have an odd number of factors. 40 has an even number of factors, because it is not a square number, and so all its factors can pair up.
What two consecutive integers does the square root of 40 lie?
Six and seven
How many perfect square nmbers are less than 1617 and greatr than 5929?
Take the square root of 1617 and round it up. Take the square root of 5929 and round it down. That gives you the lower and upper range of the numbers which you must square to get the desired perfect squares.
