Find ‘a’ and ‘b’ if √5+√3 / √5−√3 = a - b√15
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Answer:
a=4
b=-1
Step-by-step explanation:
(√5+ √3)/(√5-√3)=a-b√15
(√5+√3)×(√5+√3)
______________ =a-b√15
(√5-√3)×(√5+√3)
√25+√15+√15+√9
______________ = a-b√15
(√5)^2-(√3)^2
5+2√15+3
_________=a-b√15
5-3
8+2√15
_______ =a-b√15
2
4+√15=a-b√15
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