(iii) `((4+sqrt(-3))/(4-sqrt(-3)))`

Find the value of a and b in each of the following (i)(3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2)" "(ii)(sqrt(2)+1)/(sqrt(2)-1)=a-bsqrt(2)" "(iii)(5+4sqrt(3))/(5-4sqrt(3))=a-bsqrt(3)

If a=sqrt((7+4sqrt(3))/(7-4sqrt(3))) then the value of [a(a-14)]^(2) is

Given sqrt(3)=1.7321 , find the value of the following surd, correct to three decimal places. (sqrt(3)+1)/(sqrt(3)+1)+(sqrt(3)-1)/(sqrt(3)+1)+(4+sqrt(3))/(4-sqrt(3))

(sqrt(8)-sqrt(3))(-4+sqrt(3))

Streamline (6-4sqrt (3)) / (6 + 4sqrt (3))

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)

The expression E=27^(log_(3)3)(sqrt((4+2sqrt(3)))-sqrt(4-2sqrt(3))) is simplified to