0 vote
\(\frac{{\sqrt[3]{{46656}}}}{{\sqrt {9072} }} =\)
\(\frac{{\sqrt[3]{{46656}}}}{{\sqrt {9072} }} =\)
1). \(\frac{1}{{\sqrt 7 }}\)
2). \(\frac{{\sqrt 7 }}{7}\)
3). \(\frac{{2\sqrt 7 }}{7}\)
4). Both (1) and (2)
1 answers
2 vote
$(\frac{{\sqrt[3]{{46656}}}}{{\sqrt {9072} }} = \;\frac{{\sqrt[3]{{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3}}}}{{\sqrt {2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 7} }} = \frac{{36}}{{36\sqrt 7 }} = \;\frac{1}{{\sqrt 7 }} = \;\frac{{\sqrt 7 }}{7})$