To calculate the cube root of 343, we need to find a number which when raised to the power of 3 gives 343.
Let's denote the cube root of 343 by [tex]\( x \)[/tex], so we have:
[tex]\[ x^3 = 343 \][/tex]
To find [tex]\( x \)[/tex], we can take the cube root of both sides:
[tex]\[ x = \sqrt[3]{343} \][/tex]
After calculating this, we find:
[tex]\[ \sqrt[3]{343} \approx 6.999999999999999 \][/tex]
Therefore, the cube root of 343 is approximately [tex]\( 6.999999999999999 \)[/tex].
