Square of a number is positive, so the cube of that number will also be positive. State whether the statement is true or false.

Solution:

Given, the square of a number is positive, so the cube of that number will also be positive.

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

Consider a number -5

Square of -5 = (-5)²

= -5 × -5

= 25

Cube of -5 = (-5)³

= -5 × -5 × -5

= 25 × -5

= -125

We observe that the square of -5 is positive and the cube of -5 is negative.

✦ Try This: Cube of a number is negative, so the square of that number will also be negative. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 86

Square of a number is positive, so the cube of that number will also be positive. State whether the statement is true or false

Summary:

The given statement, ”Square of a number is positive, so the cube of that number will also be positive” is false.

☛ Related Questions:

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• Show that 500 is not a perfect square