rationalize 30 upon 5 root 3 minus 3 root 5
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Solution v:
Given 30/( 5√3 - 3√5 )
= [ 30(5√3 + 3√5)]/[(5√3-3√5)(5√3+3√5)]
= [30(5√3+3√5)]/[(5√3)²-(3√5)²]
= [ 30(5√3+3√5)]/( 75 - 45 )
= [ 30(5√3+3√5) ]/30
= 5√3 + 3√5
•••••
Given 30/( 5√3 - 3√5 )
= [ 30(5√3 + 3√5)]/[(5√3-3√5)(5√3+3√5)]
= [30(5√3+3√5)]/[(5√3)²-(3√5)²]
= [ 30(5√3+3√5)]/( 75 - 45 )
= [ 30(5√3+3√5) ]/30
= 5√3 + 3√5
•••••
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