A line passes through point P(4,5) and makes `30^@` with X-axis. Then the coordinates of the point which is at distance of 4 unit on either side of P is : a. `(4-2sqrt(3),7)` b. `(4+2sqrt(3),7)`,`(4-2sqrt(3),7)` c. `(4+2sqrt(3),7)`,`(4-2sqrt(3),3)` d. `(4-2sqrt(3),7)`,`(4-2sqrt(3),7)`

A line passes through point P(4,5) and makes 30^@ with X-axis. Then the coordinates of the point which is at distance of 4 unit on either side of P is : a. (4-2sqrt(3),7) , (4+2sqrt(3),7) b. (4+2sqrt(3),7) , (4-2sqrt(3),7) c. (4+2sqrt(3),7) , (4-2sqrt(3),3) d. (4-2sqrt(3),7) , (4-2sqrt(3),7)

4sqrt(3)-7sqrt(12)+2sqrt(75)=

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

(5+2sqrt(3))/(7+4sqrt(3))=a-b sqrt(3)

(5+2sqrt(3))/(7+4sqrt(3))=a-b sqrt(3)

The value of (4+3sqrt(3))/(7+4 sqrt(3)) is

(1)/(sqrt(11-2sqrt(30)))-(3)/(sqrt(7-2sqrt(10)))-(4)/(sqrt(8+4sqrt(3)))

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =

Simplify: 1/sqrt(11-2sqrt(30))-3/(sqrt7-2sqrt(10))-4/(sqrt(8+4sqrt3))

Find the value of a and b in each of the following :(5+2sqrt(3))/(7+4sqrt(3))=a-b sqrt(3)