Cube roots of non perfect cubes #nonperfectcubes #doubtnut

Is 297 a perfect cube ?

Is 243 a perfect cube?

Is 256 a perfect cube?

Is 2774 a perfect cube ?

using the method of successive subtraction examine whether or not the following numbers are perfect cube (i) 130 (ii) 345 (iii) 792 (iv) 1331 Find the smallest number that must be subtracted from those of the numbers in above question which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?

State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number.

Find the smallest number which when multiplied with 137592 will make the product a perfect cube. Further, find the cube root of the product.

Divide the number 26244 by the smallest number so that the quotient is a perfect cube. Also fine the cube root of the quotient.

Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.

Multiply 210125 by the smallest number so that the product is a perfect cube. Also find out the cube root of the product.