Question

Please kk dijawab beserta caranya

Answer 1

Verified answer

1. 3-√2 / (5-2√2)(1+√2)
(3-√2)(5+2√2) / 17(1+√2)
15+6√2 -5√2 -4 / 17(1+√2)
11+√2 / 17(1+√2)
(11+√2)(1-√2) / -17
11-11√2 + √2 - 2 / -17
9-10√2 / -17
10√2 - 9 / 17

2. 3 3/4 x 8 3/15 x 5 1/2
_________________
10 -1/2 x 2 1/10 x 27 -1/12

3 3/4 x (2³)1/5 x 5 1/2
_________________
5 -1/2 x 2 -1/2 x 2 1/10 x (3³)-1/12

3 3/4 x 2 3/5 x 5
______________
2 -1/2 x 2 1/10 x -1/4

3 x 2 1/2 x 5
___________
2 -1/2

3x2x5 = 30


3. (1+2√5)(9+√5)
________________
1+√5
9+√5 +18√5 +10
______________
1+√5

19+19√5
________
1+√5

19(1+√5)
________
1+√5

=19

Answer 2

5)
(3-V2)/(5-2V2)(1+V2)
= [(3-V2)(5+2V2)(1-V2)]/[(5-2V2)(1+V2)(5+2V2)(1-V2)
= (9-10V2)/-17
= -1/17 (9-10V2)
= 1/17 (10V2-9)

6)
(3^3/4 8^3/15 5^1/2)/(10^-1/2 2^1/10 27^-1/12)
= (3^3/4 2^9/15 5^1/2)/(2^-1/2 5^-1/2 2^1/10 3^-3/12)
=(3^3/4 2^3/5 5^1/2)/(2^-2/5 5^-1/2 3^-1/4)
= (2 3 5)
= 30

7)
(1+2V5)(9+V5)/(1+V5)
= (1+2V5)(9+V5)(1-V5)/(1+V5)(1-V5)
= -76/-4
= 19