Question

Tolong Dibantu Gawat Darurat

Answer 1

1. m² + n² - 10mn
  = (m + n)² - 2mn - 10mn
  = (m + n)² - 12mn
  = (√5 - √3 + √5 + √3)² - 12(√5 - √3)(√5 + √3)
  = (2√5)² - 12( 5 + √15 - √15 - 3)
  = 20 - 12 ( 2)
  = -4

...........6...............3
2.  ---------- - --------------
......3 + √2.......2 + 3√2

...6(2 + 3√2) - 3(3 + √2)
=----------------------------
....(3 + √2) ( 2 + 3√2)

...12 + 18√2 - 9 - 3√2
=------------------------------
....6 + 9√2 + 2√2 + 6

....3 + 15√2
=-------------
...12 + 11√2


.....a√a + b√b......( √a - √b)
3. --------------- ×-----------------
......√a + √b.........( √a - √b)

...a² - a√ab + b√ab - b²
=-----------------------------
...........( a - b)

....(a² - b²) - ( a - b)√ab
=---------------------------------
............( a - b)

...( a - b)(a + b) - ( a - b)√ab
=-----------------------------------
...............( a - b)

= ( a + b) - √ab