Calculate the value of \sqrt3/ (3+ \sqrt3) if \sqrt3 = 1.7320

SSC CHSL 5 Mar 2018 Shift 3 Paper

Section: English Language

Question : 2 of 100

Marks: +1, -0

Calculate the value of

√3/ (3+ √3)

√3 = 1.7320

Solution:

Expression :

√3/ (3+ √3)

√3 = 1.7320

Rationalizing the denominator :
=

√3/ (3+ √3)×(3- √3)/(3- √3)

{√3(3-√3) }/{(3)^2− (3)^2} = {3 √3 -3}/{9−3}

{√ 3-1}/ 2= (1.7320−1)/2

0.7320/2=0.366

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