Steply

Simplify ∛36

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

Step by step

The question

Question: simplify ∛36.

3√36

The small 3 says how many times.

∛36 asks: which number, times itself 3 times, makes 36?

? × ? × ? = 36

1 Find the biggest cube

Cubes are a number times itself 3 times.

2 × 2 × 2 is 8.

Cubes: 23 = 8

Does 8 go into 36?

No.

36 ÷ 8 ✗

No cube goes into 36.

No cube goes into 36.

So ∛36 is already as simple as it gets.

3√36 is already as simple as it gets.
Answer
36 ÷ 8 ✗

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