<u>Answer</u>
√7 × √5
√3 × √2
<u>Explanation</u>
√9*√16 = 3 × 4
= 12
= 12/1 ⇒ It is a rational answer.
√7*√5 = √(7×5)
= √35
= 5.916079783.... ⇒ Irrational
√3*√2 = √(3×2)
= √6
= 2.449489743... ⇒ Irrational
4√2*√2 = 4 × √(2×2)
= 4 × √4
= 4 × 2
= 8
= 8/1 ⇒ It is rational
The expressions that would give irrational answers are: √7*√5 and√3*√2
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Answer:
add, subtract, multiply and divide complex numbers much as we would expect. We add and subtract
complex numbers by adding their real and imaginary parts:-
(a + bi)+(c + di)=(a + c)+(b + d)i,
(a + bi) − (c + di)=(a − c)+(b − d)i.
We can multiply complex numbers by expanding the brackets in the usual fashion and using i
2 = −1,
(a + bi) (c + di) = ac + bci + adi + bdi2 = (ac − bd)+(ad + bc)i,
and to divide complex numbers we note firstly that (c + di) (c − di) = c2 + d2 is real. So
a + bi
c + di = a + bi
c + di ×
c − di
c − di =
µac + bd
c2 + d2
¶
+
µbc − ad
c2 + d2
¶
i.
The number c−di which we just used, as relating to c+di, has a spec
500 stiches/2/3 min = 750 stiches per minute
1 question what is x equal to?
