what is the cubed root of 344

Answer 1

Hello, thank you for taking the time to post your question!

There are a variety of ways that you can approach this depending on the way that the question is phrased! I think for me it would make the most sense to estimate the value using integers.

So we know that 7^3 = 343 and 8^3 = 512, meaning that it has to be super close to 7 for the exact value since it’s just one unit a way.

The exact value ends up being 7.0068 if you solve using technology like a calculator.

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

If you need to do this without a calculator, factor 344 to primes (unless you happen to find it sooner.

344 = 8 (43) since 43 is prime and I hope you recognize that 8 = 2³

Side note - to make typin this easier cubed root of x = x^1/3

344^1/3 = 8^1/3(43)^1/3 = 2(43)^1/3