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\large \sqrt {15} \cdot \sqrt {25} \cdot \sqrt {135}
\large = \sqrt {{5^{2}} \cdot {3^{4}}} = {5^{1}} \cdot {3^{2}} = 5 \cdot 9 = 45
\large = \sqrt {{5^{3}} \cdot {3^{4}}} = {5^{1.5}} \cdot {3^{2}} = 15 \cdot 9 = 135
\large = \sqrt {{5^{4}} \cdot {3^{3}}} = {5^{2}} \cdot {3^{1.5}} = 25 \cdot 5.2 = 130
\large = \sqrt {{5^{4}} \cdot {3^{4}}} = {5^{2}} \cdot {3^{2}} = 25 \cdot 9 = 225
Tady máš za úkol zapsat přesnou hodnotu jednotlivých výrazů. Budeš používat vzorec \large \sqrt {a \cdot b} a následně rozkládat čísla na prvočinitele.
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