0
For how many integers x in 1 to 2010 is x squared plus x cubed the square of an integer?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
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?
What is the product of ten squared and two cubed?
First square ten, next cube two - finally multiply the products of the two.
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.
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.
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?
How do you convert the volume of a cylinder from squared to cubed?
Volume of any 3-dimensional object is always 'Cubic'. 'Squared' refers to area. The volume of a cylinder is V = pir^2h Where pi r^2 refers to the area of the circular profile of the cylinder., which is a 'squared' value/ 'h' is the height of the cylinder , which is a linear value. When a squared value is multiplied to a linear value , it becomes a cubic value.
Why are 2 and 3 are squared and cubed?
2 squared --> 4 2 cubed --> 8 3 squared --> 9 3 cubed --> 27
What is the product of ten squared and two cubed?
First square ten, next cube two - finally multiply the products of the two.
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.)
Factor a cubed plus B-Cubed?
(a+b)(a squared-ab+b squared)
What is the result when pi is squared or cubed?
pi squared is 9.869604401... pi cubed is 31.00627668
