rationalising factor of
![\sqrt[3]{54}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B54%7D+ "\sqrt[3]{54}")
is. plz give the answer of this question in detail
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Hi ,
Cubeth root of 54
= ( 54 )^1/3
= ( 2 × 3³ )^1/3
= 3 × 2^1/3
Therefore ,
Rationalizing factor = 2^2/3
( 54 )^1/3 × 2^2/3
= 3 × 2^1/3 × 2^2/3
= 3 × 2^1/3 + 2/3
= 3 × 2^3/3
= 3 × 2
= 6 ( rational number )
I hope this helps you.
: )
Cubeth root of 54
= ( 54 )^1/3
= ( 2 × 3³ )^1/3
= 3 × 2^1/3
Therefore ,
Rationalizing factor = 2^2/3
( 54 )^1/3 × 2^2/3
= 3 × 2^1/3 × 2^2/3
= 3 × 2^1/3 + 2/3
= 3 × 2^3/3
= 3 × 2
= 6 ( rational number )
I hope this helps you.
: )
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