Question

Find the value of 3 underroot 343 - 3 underroot 216

Answer 1

The answer is 1.
Explanation:
3 underroot 343= 7,
(343 can be written as 7³, cube root and 3 will be cancelled)


and 3 underroot 216 = 6
(216 can be written as 6³, cube root and 3 in the power of 6 will be cancelled)

so, 7-6 =1

Answer 2

Heya user !!

Here's the answer you are looking for

$\sqrt[3]{343} \: - \sqrt[3]{216} \\ = \sqrt[3]{ {7}^{3} } \: - \sqrt[3]{ {6}^{3} } \\ = 7 - 6 \\ = 1 \\ \\ \\ 343 = 7 \times 7 \times 7 = {7}^{3} \: \\ and \: 216 = 6 \times 6 \times 6 = {6}^{3}$


★★ HOPE THAT HELPS ☺️ ★★