Rationalize the denominator
( 3√5+√3) / ( √5-√3) )
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Answer:
9+2√15
Step-by-step explanation:
Multiply and divide by (√5+√3)
=> Denominator becomes (√5-√3)(√5+√3) = 5-3 = 2
=> Numerator : ( 3√5+√3)*(√5+√3)
= 3√5*√5 +√3√5 + 3√5√3 + √3√3
= 3*5 + √15 + 3√15 + 3
= 18 + (3+1)√15
= 18+4√15
=> Answer : (18+4√15)/2
=> 9+2√15
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