Question

СРОЧНО Н 102 и 103, даю 34 балла

Answer 1

102.

1)

(2√3 + 6√20 - 7√45)*√5 - √60 = (2√15 + 6√100 - 7√225) - √60 =

= 2√15 + 6*10 - 7*15 - √60 = √60 + 60 - 105 - √60 = -45,

2)

(√7 - 2√3)(2√3 + √7) - (√6 - 3√2)² =

= 7 - 4*3  -  6 + 6√18 - 9*2 = 7 - 12 - 6 + 18√2 - 18 = 18√2 - 29,

3)

(5 - √2)² + (3 + √2)² = 25 - 10√2 + 2  +  9 + 6√2 + 2 = 38 - 4√2,

4)

(√(9 - 4√5) - √(9 + 4√5)² = (9 - 4√5) - 2*(9 - 4√5)(9 + 4√5) + (9 + 4√5) =

= 9 - 4√5  -  162 + 160  +  9 + 4√5 = 16,

103.

1)

(х²-13)/(х-√13) = (х-√13)(х+√13)/(х-√13) = х + √13,

2)

(√х+11)/(х-121) = (√х+11)/(√х-11)(√х+11) = 1/(√х - 11),

3)

(в-5√в)/(в-25) = √в*(√в-5)/(√в-5)(√в+5) = √в/(√в + 5),

4)

(15+√15)/√15 = √15*(√15+1)/√15 = √15 + 1,

5)

(х+16√х+64)/(х-64) = (√х+8)²/(√х-8)(√х+8) = (√х + 8)/(√х - 8),

6)

(5-√10)/(√10-2) = (5 - √(5*2)) / (√(5*2) - 2) =

= √5*(√5 - √2) / (√2 * (√5 - √2)) = √5 / √2 = √(5/2) = √2,5