`frac{2-sqrt3}{3}, frac{2+sqrt3}{3}`

frac{1}{sqrt7-4} frac{1}{sqrt11-7}

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

3frac{1}{13}+1frac{4}{13}+2frac{3}{13}

cos frac{3pi}{4}-iota sin frac{3pi}{4}

frac{dP}{dx} = frac{d}{dx} (x^3) (frac{7-2x}{3})^(4)

Examine whether the following numbers are rational or irrational : (2 sqrt3 - 3 sqrt2) (2sqrt3 + 3 sqrt2)

The rationalisation factor of 2+sqrt(3) is (a) 2-sqrt(3) (b) sqrt(2)+3 (c) sqrt(2)-3 (d) sqrt(3)-2

Sameera purchased 3 frac{1}{2} kg apples and 4 frac {3}{4} kg oranges. What is the total weight of fruits purchased by her?

cos^-1[sqrt3/2]

Simplify the following 3frac{1}{7}-{1/6 xx (4div 3frac{1}{2}-7)}