Mohon sama caranya

<p>Jawaban: (2 + 10√2)/7</p><p>&nbsp;</p><p>Konsep:</p><p>* a√b + c√b = (a + c)√b</p><p>* a√b - c√b = (a - c)√b</p><p>* √a · √a = a</p><p>* (a + √b)/(c - √d) = (a + √b)/(c - √d) × (c + √d)/(c + √d)</p><p>* (a - √b)/(c + √d) = (a - √b)/(c + √d) × (c - √d)/(c - √d)</p><p>* (a + √b)(a - √b) = a² - b</p><p>&nbsp;</p><p>Pembahasan:</p><p>(3 + √2)/(3 - √2) - (4 - √2)/(4 + √2)</p><p>= (3 + √2)/(3 - √2) · (3 + √2)/(3 + √2) - (4 - √2)/(4 + √2) · (4 - √2)/(4 - √2)&nbsp;</p><p>= (9 + 3√2 + 3√2 + 2)/(9 - 2) - (16 - 4√2 - 4√2 + 2)/(16 - 2)</p><p>= (11 + 6√2)/7 - (18 - 8√2)/14</p><p>= (11 + 6√2)/7 - 2(9 - 4√2)/14</p><p>= (11 + 6√2)/7 - (9 - 4√2)/7</p><p>= (11 + 6√2 - 9 + 4√2)/7</p><p>= (2 + 10√2)/7</p><p>&nbsp;</p><p>Jadi, hasilnya adalah (2 + 10√2)/7.</p>