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Step-by-step explanation:
(√2+ √3)/(√2- √3 ) = a + b√6
First, rationalize the denominators:
(√2+ √3* √2+ √3)/(√2-√3* √2+ √3)
(2+3+2√6)/(2-3) = a + b√6
(5+2√6)/(-1) = a + b√6
Now, take the minus sign to the top:
- (5+2√6)/(1) = a + b√6
Now, open the brackets and change the sign:
(-5 - 2√6) = a + b√6
Now substitute the values:
a = -5
b= -2√6
Hope it helps!! Please mark as brainliest!!
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