please solve the qustion eith full steps
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given, x=(2+√3)^(1/3)
=>x³=2+√3 -------(i)
=>1/x³=1/(2+√3)
=>1/x³=(2-√3)/(2+√3)(2-√3)
=>1/x³=(2-√3)/(4-3)
=>1/x³=2-√3-------------(ii)
Now, let's add equations (i) and (ii).
x³+(1/x³)=2+√3+2-√3
=>x³+(1/x³)=4
=>x³=2+√3 -------(i)
=>1/x³=1/(2+√3)
=>1/x³=(2-√3)/(2+√3)(2-√3)
=>1/x³=(2-√3)/(4-3)
=>1/x³=2-√3-------------(ii)
Now, let's add equations (i) and (ii).
x³+(1/x³)=2+√3+2-√3
=>x³+(1/x³)=4
arnav52:
font we have expand x cube by using its property
srry dont
pardon? what do you mean?
why cant we expand x^3 by using its property
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