(1/√3+√2)-(2/√5-√3)-(3/√2-√5)
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Step-by-step explanation:
(1/√3+√2)-(2/√5-√3)-(3/√2-√5)
=(1/√3)+√2-(2/√5)+√3-(3/√2)+√5
(multiply denominator and numerator by the root in the denominator
eg- 2/√3 = 2*√3/√3*√3 = 2√3/3 )
=(√3/3)+√2-(2√5/5)+√3-(3√2/2)+√5
take LCM
=(10√3 + 30√2 - 12√5 + 30√3 - 45√2 + 30√5) / 30
=(30√3 - 15√2 + 18√5) / 30
= √3 -(√2/2) + (3√5/5)
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