The square of every natural number is always greater than the number itself. State whether the statement is true or false.

Solution:

Given, the square of every natural number is always greater than the number itself.

We have to determine if the given statement is true or false.

Number obtained when a number is multiplied by itself three times is called a cube number.

If m = n², then m is a perfect square where m and n are natural numbers.

Example: consider 1

Square of 1 = 1

Example: consider 2

Square of 2 = 4

Therefore, the square of every natural number is not always greater than the number itself.

✦ Try This: The cube of every natural number is always greater than the number itself. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 58

The square of every natural number is always greater than the number itself. State whether the statement is true or false

Summary:

The given statement, ”The square of every natural number is always greater than the number itself” is false

☛ Related Questions:

• All numbers of a pythagorean triplet are odd. State whether the statement is true or false
• For an integer a, a³ is always greater than a². State whether the statement is true or false
• If x and y are integers such that x² > y², then x³ > y³. State whether the statement is true or fals . . . .