The smallest among, ^6{\sqrt12}, ^3 {\sqrt4} , ^4 {\sqrt5} , \sqrt3 is

RRB Group D Model Paper 10 with solutions

Question : 17 of 100

Marks: +1, -0

The smallest among,

^6{√12}

^3 {√4}

^4 {√5}

√3

Solution:

(4) LCM of indices surds = LCM of 6, 3, 4 and 2 = 12.
So

^6{√12}

^12{√12^2}

^12{√144}

^3 {√4}

^12 {√4^4}

^12{√256}

^4 {√5}

^12{√5^3}

^12 {√125}

And,

√3

^12{√3^6}

^12{√726}

Therefore,the smallest surd is

^12 {√125}

^4 {√5}

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