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# help

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45
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Simplify completly $$\sqrt[3]{30^3+40^3+50^3}$$

Apr 8, 2021

#1
+31826
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sixty.    Just use a calculator....

Apr 8, 2021
#2
+212
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Hey there, Guest!

You prob already saw EP's answer; I agree, you could use a calculator, but I'll walk you step-by-step through this instead.

$$30^3=27000\rightarrow$$$$\sqrt[3]{27000+40^3+50^3}$$

$$40^3=64000\rightarrow$$$$\sqrt[3]{27000+64000+50^3}$$

$$50^3=125000\rightarrow$$$$\sqrt[3]{27000+64000+125000}$$

$$\mathrm{Add\:the\:numbers:}\:27000+64000+125000=216000\rightarrow$$$$\sqrt[3]{216000}$$

$$\mathrm{Factor\:the\:number:\:}\:216000=60^3\rightarrow$$$$\sqrt[3]{60^3}$$

$$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$$ and then we get our answer, 60.

Hope this helped! :)

( ﾟдﾟ)つ Bye

Apr 8, 2021