Question

find the value of root a-b if [(8+3sqrt(7))/(8-3sqrt(7)]-[(8-3sqrt(7))/(8+3sqrt(7)] = a-b root 2​

Answer 1

/* There is a mistake in the question . It may be like this *)

$Given \: a - b \sqrt{7}$

$= \frac{8+3\sqrt{7}}{8-3\sqrt{7}} - \frac{8-3\sqrt{7}}{8+3\sqrt{7}}$

$= \frac{(8+3\sqrt{7})^{2} - (8-3\sqrt{7})^{2}}{(8+3\sqrt{7}) }$

$= \frac{4 \times 8 \times 3\sqrt{7}}{8^{2} - (3\sqrt{7})^{2} }$

$= \frac{96}{64-56}$

$= \frac{96}{8}$

$= 12$

/* Compare bothsides of the equation , we get */

$a = 12 , \: b = 0$

Therefore.,

$\red{ Value \: of \: a- b}$

$= \green { = 12 }$

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Answer 2

Answer:

HOPE IT HELPS BUDDY....