question_answer

Evaluate: \[\sqrt[3]{1372}\times \sqrt[3]{1458}\]

Answer:

2	1372
2	686
7	343
7	49
7	7
	1

	2	1458
	3	729
	3	243
	3	81
	3	27
	3	9
	3	3
		1
Since,
\[\sqrt[3]{1372}\times \sqrt[3]{1458}=\sqrt[3]{\underline{2\times 2}\times \underline{7\times 7\times 7}\times 2\times \underline{3\times 3\times 3}\times \underline{3\times 3\times 3}}\]
\[=\sqrt{{{2}^{3}}\times {{7}^{3}}\times {{3}^{3}}\times {{3}^{3}}}\]
\[=2\times 7\times 3\times 3\]
=126