[tex] \frac{3 \sqrt{24} }{2\sqrt{5} } = [/tex]
[tex] \frac{3 \sqrt{24} }{2 \sqrt{5} } · \frac{2 \sqrt{5} }{2 \sqrt{5} } = [/tex]
[tex] \frac{3 \sqrt{24} ·2 \sqrt{5} }{2 \sqrt{5}·2 \sqrt{5} } = [/tex]
[tex] \frac{3·2 \sqrt{24·5} }{2·2·5} = [/tex]
[tex] \frac{6 \sqrt{120} }{20} = [/tex]
[tex] \frac{6\sqrt{4} \sqrt{30} }{20} = [/tex]
[tex] \frac{6·2 \sqrt{30} }{20} = [/tex]
[tex] \frac{12 \sqrt{30} }{20} = [/tex]
[tex] \frac{3 \sqrt{30} }{5} [/tex]
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Verified answer
[tex] \frac{3 \sqrt{24} }{2\sqrt{5} } = [/tex]
[tex] \frac{3 \sqrt{24} }{2 \sqrt{5} } · \frac{2 \sqrt{5} }{2 \sqrt{5} } = [/tex]
[tex] \frac{3 \sqrt{24} ·2 \sqrt{5} }{2 \sqrt{5}·2 \sqrt{5} } = [/tex]
[tex] \frac{3·2 \sqrt{24·5} }{2·2·5} = [/tex]
[tex] \frac{6 \sqrt{120} }{20} = [/tex]
[tex] \frac{6\sqrt{4} \sqrt{30} }{20} = [/tex]
[tex] \frac{6·2 \sqrt{30} }{20} = [/tex]
[tex] \frac{12 \sqrt{30} }{20} = [/tex]
[tex] \frac{3 \sqrt{30} }{5} [/tex]