write in terms of 1. in simplest form.?

Question

1. 1/2 square root of -(200) minus square root of -32
2. -2 square root of (-18) minus 1/5 square root -50
3. square root of(-196) minus -225
4. square root of (-289) + square root of -169
5. square root of (-49) times square root of -1
6. square root of (-81) times square root of -1
7. square root of (-2) times square root of -18
8. square root of (-5) times square root of -80
9. -4 square root of (-3) times square root of -3

Answer 1

1/2 square root of -(200) minus square root of -32
= [ (1/2)sqrt(200) - sqrt(32) ] i
= [ (1/2)sqrt(100)sqrt(2) - sqrt(16)sqrt(2) ] i
= [ (1/2)10sqrt(2) - 4sqrt(2) ] i
= (5 - 4)i sqrt(2)
= i sqrt(2).

Answer 2

1) .5*10*isqrt(2)- 4isqrt(2) = -isqrt(2)
2) -2*3isqrt(2) -.2(5)isqrt(2) = -7isqrt(2)
3) 14i +225
4) 17i + 13i = 30i
5) 7i*i =7i^2 = -7
6) 9i *i = 9i^2 = -9
7) isqrt(2) * 3isqrt(2)= 3i^2*2 = -6
8) isqrt(5) * 4isqrt(5) = 4i^2 *5 =-20
9) -4i3qrt(3) * isqt(3) = -4i^2*3 =12

Answer 3

4 ln(x)+2 ln(y)-(ln(z))/2 undergo in suggestions multiplication interior a log meas addition exterior (ln(xy)=ln(x)+ln(y)). raising to the means propose multiplication exterior so ln(x^2)=2ln(x). branch interior propose subtraction exterior. prepare those regulations and you gets a similar answer.

Answer 4

5sqrt(2)i-4sqrt(2)i = sqrt(2)*i