<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
Объяснение:
1)√9*36=√324=18
2)√0.64*25=√16=4
3)√6,25*0,16=√1=1
4)√49/81=7/9
5)√11 1/9=√100/9=10/3
6)√3 13/36=√121/36=11/6
2 задание
√2*√18=√2*18=√36=6
√99/√11=√99/11=√9=3
√5*√45=√5*45=√225=15
√8/√50=√8/50=√4/25=2/5
√3/7 *√3 *√1/7=√3*3/7*7=√9/49=3/7
√12.1*0.4=√4.84=2.2
9 - c² + a² - 6a = a² - 6a + 9 - c² = (a - 3)² - c² = (a - 3 - c)(a - 3 + c)
k² - k - p² - p = (k² - p²) - (k + p) = (k - p)(k + p) - (k + p) = (k - p)(k + p - 1)