-- If the square root is an integer, then add ' 1 ' to it.
-- If the square root is not an integer, then there isn't any.
62 - 6 = 30 Therefore, the number is 6.
Try it! Find the square of some integers, until you either (a) find one that gives exactly 360 when squared, or (b) find two consecutive integers, one of which is smaller, the other larger, than 360. You can also take your calculator and find the square root of 360. If it is an integer (no decimals), that means it is a square number.
no solution. If you solve for x (where x is the first integer) the answer is a fraction, which is not an integer.
The two integers are 6 and 7.
156 and 158 sum to 314.
9,11,13
Find the square root of the number.Take the integer part of the answer.Square the integer part.Subtract this square from the original number.
If you have two consecutive integers then one of them must be odd and the other must be even. The square of an odd integer must be odd, the square of an even integer must be even. The sum of an odd number and an even number must be odd. Thus, the sum of squares of any two consecutive numbers must be odd. Therefore, the question has no valid answer.
62 - 6 = 30 Therefore, the number is 6.
Try it! Find the square of some integers, until you either (a) find one that gives exactly 360 when squared, or (b) find two consecutive integers, one of which is smaller, the other larger, than 360. You can also take your calculator and find the square root of 360. If it is an integer (no decimals), that means it is a square number.
Pick a number. Add or subtract 1 to or from it.
The integers are 12 and 14 (144+196=340)
6+7=13 and 6 and 7 are consecutive. 6 is the smaller integer so answer is 6
Take any integer n and square it and you have a perfect square. Then you might want to know if a given number is a perfect square. Take the square root of a number and if it is a whole number, then the number is a perfect square.
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
Try squaring different integers (hint: in this case, the integers will be fairly small). If you find that the square of one integer is less than 27, and the square of the next integer is more than 27, you have your answer.
16 and 17