How would you simplify 5 * sqrt3 + sqrt 275⋅√3+√27?

2 Answers
AltairSafir
May 9, 2018

5*\sqrt(3)+\sqrt(27)=5⋅√3+√27=

Explanation:

5*\sqrt(3)+\sqrt(27)=5⋅√3+√27=
=5*\sqrt(3)+\sqrt(3*9)==5⋅√3+√3⋅9=
=5*\sqrt(3)+\sqrt(3*3^2)==5⋅√3+√3⋅32=
=5*\sqrt(3)+3\sqrt(3)==5⋅√3+3√3=
=8*\sqrt(3)=8⋅√3

St.Roller
May 9, 2018

8sqrt38√3

Explanation:

As per the given question, we have

5*sqrt3 + sqrt275⋅√3+√27

= 5sqrt3 + sqrt(9 xx 3)=5√3+√9×3

= 5sqrt3 + sqrt9 xx sqrt3=5√3+√9×√3

= 5sqrt3 + 3xxsqrt3=5√3+3×√3

= 5sqrt3 +3sqrt3=5√3+3√3

= 8sqrt3=8√3

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