Question

a number it is less than 500 its cube root is an integer. what is the largest posible value of his number

Answer 1

Given,

A number is less than 500.

Its cube root is an integer.

To find,

The largest possible value of this number.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the unknown number is x.

Now,

(7)^3 = 343

(8)^3 = 512

And no other integers lie between the integers 7 and 8.

Now,

343 < 500 < 512

=> (7)^3 < 500 < (8)^3

{Equation-1}

Now, according to the question;

x is an integer and its cube is less than 500

=> the maximum possible value of x is 7

{according to equation-1}

=> x = 7

Hence, the required number is 7.