Question

solution pleses
anybody
​

Answer 1

$\frac{ \sqrt{11 + 6 \sqrt{2} } }{ \sqrt{17 - 2 \sqrt{72} } } - \sqrt{22 - 4 \sqrt{18} } = a + b \sqrt{2}$

simplify

$\frac{ \sqrt{2 } + 3}{3 - 2 \sqrt{2} } - (3 \sqrt{2} - 2)$

subtract b.√2 from both side

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

a=9√2+13-3√2+2-√2b

a= -√2b+6√2+15

a=15

b√2=6√2

b=6

(a+b)=(15+6)

ANSWER= 21