Question

Cube Roots of Negative Numbers.
Thank you!

Answer 1

-7 x -7 = 49 49 x -7 = -343 so it would be -7

Answer 2

Answer: The negative cube root of 343 is -7

Explanation:

Let us first determine the prime factors of -343

which can be written as 7×7×7

let us first consider 343 then we will go to the negative sign

343 = 7×7×7

343 = 7³

343 is a perfect cube

so, let us write

∛343 = ∛7³

cube root is canceled in the case of 7

so we get,

∛343 = 7

And the negative sign we can consider as

∛-343 = -∛343

then

∛-343 = -7