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simplify: The sqrt of 150^3
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(2*3*25)^(3/2)=125* 6^(3/2)
sqrt (150^3) = sqrt (150 * 150 * 150) = sqrt (25* 6 *25* 6*25* 60 = 5 * 5 * 5 sqrt (6 * 6 * 6) = 125 sqrt (36 * 6) = 750 sqrt (6)
The sqrt of 150b^3. That is my huge mistake, I am so sorry :/
good job explaining that guys
\[\sqrt{b^3}=\sqrt{b^2\times b}=\sqrt{b^2}\times \sqrt{b}=b\sqrt{b}\]
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iv had problims with that stuff and i get it a lil beter now
\[\sqrt{150}=\sqrt{25\times 6}=\sqrt{25}\times\sqrt{6}=5\sqrt{6}\]
so \[\sqrt{150b^3}=5b\sqrt{6b}\]
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