Question

Simplify:3√48 - 5/2√ 1/3 +4√3

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Answer 1

Given :
3√48 - 5/2√ 1/3 +4√3

=3(√16×3) -5/2√3+ 4√3

=3×4√3 -5/2√3+ 4√3

=12√3- 5/2√3+ 4√3

Take Lcm 2√3

=(24×3 -5 +8×3)/2√3

=(72-5+24) /2√3

=91/2√3

Multiplying in numerator & denominator by √3

=(91 × √3) / 2√3× √3

=91√3/2×3

=91√3/6
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The answer is 91√3/6
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Hope this will help you....