For an integer a, a³ is always greater than a². State whether the statement is true or false.

Solution:

Given, for an integer a, a³ is always greater than a².

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

Example: Consider a = 2

Square of a = (2)²

= 2 × 2

= 4

Cube of a = (2)³

= 2 × 2 × 2

= 8

We observe that 8 is greater than 4.

Therefore, a³ is always greater than a².

✦ Try This: For an integer c, c³ is always greater than c. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 67

For an integer a, a³ is always greater than a². State whether the statement is true or false

Summary:

The given statement, ”For an integer, a³ is always greater than a²” is true.

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