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

 Apr 8, 2021
 #1
avatar+33621 
+1

sixty.    Just use a calculator....

 Apr 8, 2021
 #2
avatar+320 
+1

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

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