Question

Not a Perfect Cube

Answer 1

The expression equivalent to ∛162 is ∛6 × ∛27

What is the cube root of a number?

The cube root of a number is a number a such that when another number, b multiplies itself 3 times, we get a.

So,

• a = b × b × b = b³and
• b = ∛a

What is a perfect cube?

A perfect cube is a number such that its cube root which is an integer or whole number.

How to find ∛162.

Since we have ∛162.

Since 162 is not a perfect cube, to find its cube root, we have

∛162 =  ∛(54 × 3)

= ∛(18 × 3 × 3)

= ∛(2 × 9 × 3 × 3)

= ∛(2 × 3 × 3 × 3 × 3)

= ∛(6 × 27)

= ∛6 × ∛27

So, the expression equivalent to ∛162 is ∛6 × ∛27

Learn more about perfect cube here:

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