determine a and b, if √7 + √5 / √7 - √5 - √7 - √5 / √7 + √5
= a + √35 b.
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15
Answer:
a=0 and b=2
Step-by-step explanation:
(√7 + √5 / √7 - √5) - (√7 - √5 / √7 + √5 )= a + √35 b.
taking LCM.
(√7+√5)(√7+√5)-(√7-√5)(√7-√5)/(√7-√5)(√7+√5)= a + √35 b.
multiply eq.
(√7+√5+√7-√5)(√7+√5-√7+√5)/7-5=a+√35 b
(2√7)(2√5)/2=a+√35 b
2√7*5=a+√35 b
2√35 = a+√35 b
a=0 and b=2
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Heya _____
Solution ______
First rationalize the LHS ____
(√7+√5)(√7+√5) -(√7-√5)+√7-√5) / (√7-√5) (√7+√5) = a+√35b
Multiplying equation ___
(√7+√5-√7√5 )/ 7-5 = a+√35b
(2√7) (2√5)/2 = a+√35b
2√7*5 = a+√35b
a = 0 _____ b = 2 ____
Thank you
Solution ______
First rationalize the LHS ____
(√7+√5)(√7+√5) -(√7-√5)+√7-√5) / (√7-√5) (√7+√5) = a+√35b
Multiplying equation ___
(√7+√5-√7√5 )/ 7-5 = a+√35b
(2√7) (2√5)/2 = a+√35b
2√7*5 = a+√35b
a = 0 _____ b = 2 ____
Thank you
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