Cube roots of 8 are +2 and -2. State whether the statement is true or false.

Solution:

Given, Cube roots of 8 are +2 and -2.

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

Cube root is an inverse operation of a cube.

(i) Consider +2

Cube of +2 = (+2)³

= 2 × 2 × 2

= 4 × 2

= 8

(ii) Consider -2

Cube of -2 = (-2)³

= -2 × -2 × -2

= 4 × -2

= -8

Therefore, cube root of 8 cannot be -2.

✦ Try This: Cube roots of 27 are +3 and -3. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 83

Cube roots of 8 are +2 and -2. State whether the statement is true or false

Summary:

The given statement, ”Cube roots of 8 are +2 and -2” is false.

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