Simplify:
(1) ∛(27/125)
(2) ∛(16/54)
Answers
Answered by
4
the anwer is
1). 3/5
2).
2/3
1). 3/5
2).
2/3
Answered by
12
( i )
![\\ \\ \\ \mathbf{solution} \\ \\ \\ \\ \sqrt[3]{ \frac{27}{125} } \\ \\ => \sqrt[3]{ \frac{ {3}^{3} }{ {5}^{3} } } \\ \\ \\ => \frac{3}{5}](https://tex.z-dn.net/?f=++%5C%5C++%5C%5C++%5C%5C++%5Cmathbf%7Bsolution%7D+%5C%5C++%5C%5C++%5C%5C++%5C%5C+%5Csqrt%5B3%5D%7B+%5Cfrac%7B27%7D%7B125%7D+%7D+%5C%5C++%5C%5C++%3D%26gt%3B++++%5Csqrt%5B3%5D%7B+%5Cfrac%7B+%7B3%7D%5E%7B3%7D+%7D%7B+%7B5%7D%5E%7B3%7D+%7D+%7D+%5C%5C++%5C%5C++%5C%5C++%3D%26gt%3B++%5Cfrac%7B3%7D%7B5%7D+ "\\ \\ \\ \mathbf{solution} \\ \\ \\ \\ \sqrt[3]{ \frac{27}{125} } \\ \\ => \sqrt[3]{ \frac{ {3}^{3} }{ {5}^{3} } } \\ \\ \\ => \frac{3}{5}")
( ii )
![\sqrt[3]{ \frac{16}{64} } \\ \\ \\ => \sqrt[3]{ \frac{ 16 }{54} } \\ \\ \\ => \sqrt[ 3]{ \frac{2 \times 2 \times 2 \times 2}{2 \times 3 \times 3 \times 3} } \\ \\ \\ => \frac{2 \sqrt{2} }{3 \sqrt{2} } \\ \\ => \frac{2}{3}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%5Cfrac%7B16%7D%7B64%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D%26gt%3B++%5Csqrt%5B3%5D%7B+%5Cfrac%7B+16+%7D%7B54%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D%26gt%3B++%5Csqrt%5B+3%5D%7B+%5Cfrac%7B2+%5Ctimes+2+%5Ctimes+2+%5Ctimes+2%7D%7B2+%5Ctimes+3+%5Ctimes+3+%5Ctimes+3%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D%26gt%3B++++++%5Cfrac%7B2+%5Csqrt%7B2%7D+%7D%7B3+%5Csqrt%7B2%7D+%7D++%5C%5C++%5C%5C++%3D%26gt%3B++%5Cfrac%7B2%7D%7B3%7D+ "\sqrt[3]{ \frac{16}{64} } \\ \\ \\ => \sqrt[3]{ \frac{ 16 }{54} } \\ \\ \\ => \sqrt[ 3]{ \frac{2 \times 2 \times 2 \times 2}{2 \times 3 \times 3 \times 3} } \\ \\ \\ => \frac{2 \sqrt{2} }{3 \sqrt{2} } \\ \\ => \frac{2}{3}")
( ii )
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