To have a whole number square root, the number is a perfect square.
Thus the numbers will be the squares of multiples of 11.
Thus the first number will be (1×11) × (1×11) = 11² = 121
The next candidate will be (2×11) × (2×11) = 22² = 484
The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large.
Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)
The product will be a positive integer.It will be at least as large as the square of the minimum of the two numbers and at most as large as the square of their maximum.
What are the integers between 0 and 100 whose positive square roots are integers?
Square numbers * * * * * Although "perfect square numbers" is more descriptive.
-15 and -14 or 14 and 15 <><><><><> Or, if you consider whole numbers to be positive integers, then just 14 and 15.
The square numbers integers between 576 and 10000 (and their square roots, in the left column) are: 245762562526676277292878429841309003196132102433108934115635122536129637136938144439152140160041168142176443184944193645202546211647220948230449240150250051260152270453280954291655302556313657324958336459348160360061372162384463396964409665422566435667448968462469476170490071504172518473532974547675562576577677592978608479624180640081656182672483688984705685722586739687756988774489792190810091828192846493864994883695902596921697940998960499980110010000
The numbers are 3, and 4.
No. The square root of 49 is plus or minus 7, both of which are integers. And integers are rational numbers - whether they are positive or negative.
The product will be a positive integer.It will be at least as large as the square of the minimum of the two numbers and at most as large as the square of their maximum.
They are whole numbers,counting numbers,integers,rational numbers,real Numbers,composite numbers,square numbers,positive numbers,2-digit numbers.
What are the integers between 0 and 100 whose positive square roots are integers?
At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.
The set of all integers; the set of all rational numbers; the set of all real numbers; the set of all complex numbers. Also their multiples - for example the set of all multiples of 2; the set of all multiples of 2.5; the set of all multiples of sqrt(17); the set of all multiples of 3 + 4i where i is the imaginary square root of -1.
There are infinitely many subsets: All odd numbers. All even numbers. All prime numbers. All numbers that leave a remainder of 7 when divided by 9. All triangular numbers. The ages (in whole years) of the members of my family. The number of bedrooms in each house on my street. and so on.
There is no particular characteristic that is common to such numbers other than they are positive integers greater than or equal to 4.
The integers are 4 and 9, so the equation would be 16+81=? and 16+81=97
The set comprised of the square roots of the positive integers between 1 and 20 is.
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1