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Add the following terms (2root3+5root5-7root7)and(3root5-root3+root7)   …

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Add the following terms

(2root3+5root5-7root7)and(3root5-root3+root7)

 

 

  • 1 answers

Dharmendra Kumar 8 years, 4 months ago

{tex}(2{\sqrt 3}+5{\sqrt 5}-7{\sqrt 7})+(3{\sqrt 5}-{\sqrt 3}+{\sqrt 7}){/tex}

={tex}2{\sqrt 3}-{\sqrt 3}+5{\sqrt 5}+3{\sqrt 5}-7{\sqrt 7}+{\sqrt 7}{/tex}

={tex}{\sqrt 3}(2-1)+{\sqrt 5}(5+3)+{\sqrt 7}(-7+1){/tex}

={tex}{\sqrt 3}×1+{\sqrt 5}×8+{\sqrt 7}×(-6){/tex}

={tex}{\sqrt 3}+8{\sqrt 5}-6{\sqrt 7}{/tex}

 

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