Math Is Fun Forum

paulb203

Member

Registered: 2023-02-24

Posts: 345

Method for cube root 3 * cube root 3 ?

I know from my using my calculator that the answer to cube root 3 * cube root 3  is 2.08....

But I'm wondering if there's a method for multiplying two cube roots where the radicand is the same in each, something similar to the method for multiplying square roots where the radicand is the same, e,g;

sqrt 2 * sqrt 2 = sqrt 4 (which = 2)

or,

sqrt 12 * sqrt 12 = sqrt 144 (which = 12)

Is there such a method? Like;

cube root y * cube root y = cube root z ?

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Prioritise. Persevere. No pain, no gain.

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 256

Re: Method for cube root 3 * cube root 3 ?

Perhaps you mean as:
cube root y * cube root y * cube root y = cube root y^3

For example:
cube root 27 * cube root 27 * cube root 27 = cube root 19683 (which = 27)

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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,812

Re: Method for cube root 3 * cube root 3 ?

Hi,

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

paulb203

Member

Registered: 2023-02-24

Posts: 345

Re: Method for cube root 3 * cube root 3 ?

Thanks, guys; very satisyfing

And, I'm guessing, the same for 4th root, 5th root etc?

E.g,

4th root 16 * 4th root 16 * 4th root 16 * 4th root 16 = 4th root 16^4 = 16
    (2)         .          (2)      .        (2)         .         (2)      = 16

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Prioritise. Persevere. No pain, no gain.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,812

Re: Method for cube root 3 * cube root 3 ?

Hi paulb203,

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.