rationalise the denominators of 4√3÷2√8
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4/root 3÷2root 8
4 root 3 ÷ 2×2 root 2
root 3/ root 2
root 3× root 2 upon root 2 × root 2
root 6/2
4 root 3 ÷ 2×2 root 2
root 3/ root 2
root 3× root 2 upon root 2 × root 2
root 6/2
apoorva14:
really thnks to you too..it was helpful to me
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Heya Friend ✋✋✋
![\frac{4 \sqrt{3} }{2 \sqrt{8} } \\ \\ = \frac{4 \sqrt{3} }{4 \sqrt{2} } \\ \\ = \frac{{ \sqrt{3} } }{ \sqrt{2} } \\ \\ = \frac{ \sqrt{3} \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ \\ = \frac{ \sqrt{3} \times \sqrt{2} }{2} \\ \\ = \frac{ \sqrt{6} }{2} \frac{4 \sqrt{3} }{2 \sqrt{8} } \\ \\ = \frac{4 \sqrt{3} }{4 \sqrt{2} } \\ \\ = \frac{{ \sqrt{3} } }{ \sqrt{2} } \\ \\ = \frac{ \sqrt{3} \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ \\ = \frac{ \sqrt{3} \times \sqrt{2} }{2} \\ \\ = \frac{ \sqrt{6} }{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B4+%5Csqrt%7B3%7D+%7D%7B2+%5Csqrt%7B8%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B4+%5Csqrt%7B3%7D+%7D%7B4+%5Csqrt%7B2%7D+%7D++%5C%5C++%5C%5C+%3D+++%5Cfrac%7B%7B+%5Csqrt%7B3%7D+%7D+%7D%7B+%5Csqrt%7B2%7D+%7D++%5C%5C++%5C%5C++%3D+++%5Cfrac%7B+%5Csqrt%7B3%7D+%5Ctimes++%5Csqrt%7B2%7D++%7D%7B+%5Csqrt%7B2%7D++%5Ctimes++%5Csqrt%7B2%7D+%7D++%5C%5C++%5C%5C+++%3D++%5Cfrac%7B+%5Csqrt%7B3%7D++%5Ctimes++%5Csqrt%7B2%7D+%7D%7B2%7D+++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B2%7D+)
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