The LCM of `sqrt2x, sqrt8 x^(7) y^(2)` is _____

Rationalise the denominator: (a) (1)/(root(3)(3) + root(3)(2)) , (b) (2)/(sqrt5 + sqrt3 + sqrt2) , (c) (x^(2))/(sqrt(x^(2) + y^(2)) - y) , (d) (1)/(sqrt6 + sqrt5 - sqrt11) (e) (sqrt(x + 2y) - sqrt(x -2y))/(sqrt(x + 2y) + sqrt(x - 2y)) , (f) (sqrt10 + sqrt5 - sqrt3)/(sqrt10 - sqrt5 + sqrt3)

If the value of (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) is same as that of sqrt x sqrt y , then which of the following relations between x and y is correct? यदि (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) का मान sqrt x sqrt y के समान है, तो निम्नलिखित में से कौन सा संबंध x और y के बीच सही है?

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

If x= 8 +3 sqrt 7 and xy =1 then the value of (1)/(x^(2)) + (1)/(y^(2)) is :