Question

DETERMINE RATIONAL NUMBERS a & b ---
4+ √2 /2+√2= a- b ​

Answer 1

Step-by-step explanation:

$\frac{4 + \sqrt{2} }{2 + \sqrt{2} } = a - b$

$\frac{4 + \sqrt{2(2 - \sqrt{2}) } }{(2 + \sqrt{2} )(2 - \sqrt{2} )} = a - b$

$\frac{4 + \sqrt{2} (2 - \sqrt{2}) }{2} = a - b$

$\frac{8 - 4 \sqrt{2} + 2 \sqrt{2} - 2 }{2} = a - b$

$\frac{8 - 2 \sqrt{2} - 2 }{2} = a - b$

$\frac{6 - 2 \sqrt{2} }{2} = a - b$

$\frac{6}{2} - \frac{2 \sqrt{2} }{2} = a - b$

$3 - \sqrt{2} = a - b$

$a = 3$

$b = - \sqrt{2}$

Answer 2

Answer:

a=3,b=(-√2)

Step-by-step explanation:

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