The least rationalising factor of 2v125 is
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The lowest rationalizing factor be of the type a
3
+b
2
;(3
2
+2
3
)(a
3
+b
2
)=3∗2∗b+2∗3∗a+2b
6
+3a
6
.
To be rational, 2b
6
=−3a
6
;⇒3a=−2b;
For the least value of rationalizing factor, a=2,b=−3;i.e,2
3
−3
2
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