The expression equivalent to ∛162 is ∛6 × ∛27
<h3>What is the cube root of a number?</h3>
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
<h3>What is a perfect cube?</h3>
A perfect cube is a number such that its cube root which is an integer or whole number.
<h3>How to find ∛162.</h3>
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:
brainly.com/question/12172637
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