<span><u> 36 </u> + <u> 88 </u> - <u> 4 </u> =
</span>5 - √7 <span>7+√ 5</span> √7 +√5
= <u> </u><u> 36(5 + </u><span><u>√7) </u> + <u> 88</u></span><span><u>(7-√ 5) </u> - <u> 4</u></span><span><u>(√7- √5) </u> =
</span> (5 - √7) (5+ √7) (7+√ 5)(7-√ 5) (√7 +√5)(√7- √5)
= <u> </u><u> 36(5 + </u><span><u>√7) </u> + <u> 88</u></span><span><u>(7-√ 5) </u> - <u> 4</u></span><span><u>(√7- √5) </u> =
</span> 5² - √7² 7² -√ 5² √7² - √5²
= <u> </u><u> 36(5 + </u><span><u>√7) </u> + <u> 88</u></span><span><u>(7-√ 5) </u> - <u> 4</u></span><span><u>(√7- √5) </u> =
</span> 25 - 7 49 - 5 7 - 5
= <u> </u><u> 36(5 + </u><span><u>√7) </u> + <u> 88</u></span><span><u>(7-√ 5) </u> - <u> 4</u></span><span><u>(√7- √5) </u> =
</span> 18 44 2
= <u> </u><u>2(5 + </u><span><u>√7) </u> + <u> 2</u></span><span><u>(7-√ 5) </u> - <u> 2 </u></span><span><u>(√7- √5) </u> =
</span> 1 1 1
= 2(5 + <span>√7) + 2</span><span>(7-√ 5) - 2 </span>(√7- √5) =
= 10 + 2√7 + 14 - 2√ 5 - 2<span>√7 + 2√5 = </span>10 + 14 = 24
F(x)=8√x-3
f'(x)=4/√x-3
f'(16)=4/√16-3=4/√13=4√13/13