Answer:
Step-by-step explanation:
- Let us assume, the contrary √3 is a rational no.
- √3 = p/q ,<em>where p and q are co-prime</em>
- p = √3q
- squaring on both sides
- /3 =.............................(1)
- 3 is a factor of p
- p = 3c , where c is some constant
- substituting p = 3c in equation (1)
- 9 = 3
- /3 =
∴ 3 is also a factor of q
- But , this is a <em>contradiction</em>.
- we have assume p and q are co prime
∴ <em>√3 is an irrational no.</em>
Answer:
1 17 duhhhhhh
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Note that:
- i^2 = -1
- i^3 = -i
- i^4 = 1
- i^5 = i
and after that the pattern repeats. Using the rules of exponents, i^12*(i^13)^3 = i^51 = (i^4)^12 * i^3 = 1*(-i) = -i.
Answer:
5
explanation:
it is 5 units long from A to B
Answer:
1/4h
Step-by-step explanation:
The car trip is 1/2h shorter than the bus trip.
The bus trip is 3/4h long.
Therefore, the length of the car trip is:
3/4h - 1/2h = 1/4h
The car trip is 1/4h long.