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For how many integers x in 1 to 2010 is x squared plus x cubed the square of an integer?
List column of numbers 1-30. Use Excel, or a calculator, to calculate x squared plus x cubed. In the next column, calculate square roots. The ones that are integers go in a pattern. (Look at the numbers that are one larger than the ones that work.) Hint: Answer is a prime between 40 and 50.
What else can I help you with?
What is the name for a number to the second power?
squared as in square units and to the third power it would be cubed as in cubed units
Is 343 a square number?
343 = 7 cubed, so it's not the square of an integer. (It's almost exactly the square of 18.52) Two further thoughts: No number ending in 2, 3, 7 or 8 can be the square of an integer; A cube can also be a square only if the original number was a square. eg (22)3 = 64 which is (23)2. The law of powers means that the cube of x squared is x6 and the square of x cubed is also x6. Try this: if x to the power y - y to the power x = 1, what are x and y?
Is the volume of a figure squared or cubed?
It is cubed.
Is the volume of a rectangular prism squared or cubed?
The volume is cubed and the surface area is squared.
Is perimeter squared or cubed?
I'm pretty sure that perimeter is squared and volume is cubed.
What is the smallest integer greater than 1 that is both the square and the cube of an integer?
64 = 4 cubed and 8 squared.
What is the average if 3 cubed and 5 squared?
3 cubed is 3^3=27 and 5 squared is 5^2=25. A cube of an integer is that integer multiplied by itself three times. A square of an integer is that integer multiplied by itself two times. The average of two numbers is those two numbers added together and divided by two. Any average is the numbers added together, then divided by the number of integers. Therefore, the average is (27+25)/2=52/2=26.
What is the name for a number to the second power?
squared as in square units and to the third power it would be cubed as in cubed units
How many positive integer divisors does the number 500 have knowing that 500 is 2 squared times 5 cubed?
12 of them.
Is 65 a squared or cubed number?
It it neither a perfect square nor a perfect cube.
Why are 2 and 3 are squared and cubed?
2 squared --> 4 2 cubed --> 8 3 squared --> 9 3 cubed --> 27
Is 343 a square number?
343 = 7 cubed, so it's not the square of an integer. (It's almost exactly the square of 18.52) Two further thoughts: No number ending in 2, 3, 7 or 8 can be the square of an integer; A cube can also be a square only if the original number was a square. eg (22)3 = 64 which is (23)2. The law of powers means that the cube of x squared is x6 and the square of x cubed is also x6. Try this: if x to the power y - y to the power x = 1, what are x and y?
Is the volume of a figure squared or cubed?
It is cubed.
What is the result when pi is squared or cubed?
pi squared is 9.869604401... pi cubed is 31.00627668
Is the volume of a rectangular prism squared or cubed?
The volume is cubed and the surface area is squared.
Is perimeter squared or cubed?
I'm pretty sure that perimeter is squared and volume is cubed.
What is the square rout of 27 cubed?
Square root: √27 = 5.196152423 Result of squared root cubed: 5.196152423 x 5.196152423 x 5.196152423 = 140.2961154293 (Or 140.303 to 2 decimal places.)
