Steply

Calculate ∛8

Step by step, with the reason for every step · Higher roots · Algebra 1

Step by step

The question

Question: find ∛8.

3√8

The small 3 says how many times.

∛8 asks: which number, times itself 3 times, makes 8?

? × ? × ? = 8

1 List the cubes

Cubes are a number times itself 3 times.

2 × 2 × 2 is 8.

3 × 3 × 3 is 27.

Cubes: 23 = 8, 33 = 27

8 is in the list: 2 × 2 × 2 is 8.

2 × 2 × 2 = 8

So ∛8 = 2.

= 2

2 Check

Let's check: 2 times itself 3 times.

We get 8.

So the answer is right!

2 × 2 × 2 = 8

Let's look back.

First: list the cubes.

Last: check.

Answer
= 2

Your turn

Try this one yourself, then check:

Find 3√27
Show the answer
3

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