∛(8+27) = ∛8 + ∛27. State whether the statement is true or false.

Solution:

Given, ∛(8 + 27) = ∛8 + ∛27

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

LHS: ∛(8 + 27)

= ∛35

RHS: ∛8 + ∛27

∛8 = ∛(2)³ = 2

∛27 = ∛(3)³ = 3

∛8 + ∛27 = 2 + 3 = 5

LHS ≠ RHS

Therefore, ∛(8 + 27) ≠ ∛8 + ∛27

✦ Try This: ∛(64 + 125) = ∛64 + ∛125. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 84

∛(8+27) = ∛8 + ∛27. State whether the statement is true or false

Summary:

The given statement, ”∛(8 + 27) = ∛8 + ∛27” is false.

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