Simplification

Author Suruchi asked on 2019-07-22 13:26:00

3+1/√3+1/3+√3+1/√3_3

Question   3+1/√3+1/3+√3+1/√3_3

First Method

3+1/√3+1/3+3+1/√3-3

1/√3+1/3+3+1/√3 (Cancelled +3 and -3)

1/√3+1/√3+1/3+√3

2/√3+1/3+√3

(2+1*√3+√3*√3)/3√3  (Taking LCM both side)

(2+√3+3)/3√3

(5+√3)/3√3 (answer)

 second method

3+1/√3+1/3+3+1/√3-3

1/√3+1/3+3+1/√3 (Cancelled +3 and -3)

1/√3+1/√3+1/3+√3

2/√3+1/3+√3

(2*√3)/√3*√3+1/3+√3  (rationalisation)

(2√3+1+3√3)/3  (LCM)

(5√3+1)/3

 

 

 

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