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for the 1st problem- what's the number in front of th radical sign?
Is the first one: \[\sqrt[3]{2x+9+3}=9\ ?\]
yes
1st one: x=358.5
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Then, \[2x+12=9^3\] \[x=\frac{717}{2}\]
what's law of exponents?
Think no. 2= 1.
\[\frac{3^{\frac{3}{4}}}{3^{\frac{1}{4}}}=3^{\frac{3}{4}-\frac{1}{4}}=3^\frac{1}{2}\]
\[\sqrt{x+3}=-10\] \[x+3=(-10)^2\] \[x=97\]
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\[(\sqrt{10}+5\sqrt{2})(\sqrt{10}-5\sqrt{2})\] \[(\sqrt{10}+5\sqrt{2})(\sqrt{10}-5\sqrt{2})=\sqrt{10\times 10}-5\sqrt{10\times 2}+5\sqrt{10\times 2}-5\times5\sqrt{2\times 2}\] \[\sqrt{10\times 10}-5\sqrt{10\times 2}+5\sqrt{10\times 2}-5\times5\sqrt{2\times 2}=10-25\times2=-40\]
is this last one an exact answer
Yes
thanks
\[\frac{\sqrt[3]{56}}{\sqrt[3]{7}}=\sqrt[3]{\frac{56}{7}}=\sqrt[3]{8}=2\]
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