(4)/(2+sqrt(3)+sqrt(7))" Elationlse "

if (4)/(2+sqrt(3)+sqrt(7))=sqrt(a)+sqrt(b)-sqrt(c) then :

rationalise (4)/(2+sqrt(3)+sqrt(7))

given x=(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3)),y=(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3)) find the value of x^(4)+y^(4)+(x+y)^(4)

Complete the following activity to solve the quadratic equation sqrt(3) x^(2) +4x- 7 sqrt(3) = 0 by factorisation method : sqrt(3) x^(2) +4x- 7 sqrt(3) = 0 :. sqrt(3) x^(2) + square - 3x - 7 sqrt(3) = 0 :. x( sqrt(3) x + ) - sqrt(3) ( sqrt(3) x + 7) = 0 :. (" ") (x-sqrt(3))= 0 :. sqrt(3) x + 7 = 0 or square = 0 :. x = ( -7)/( sqrt(3)) or x = square :. (-7)/(sqrt(3)) and sqrt(3) are the roots of the equation.

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))( ii) (5+2sqrt(3))/(7+4sqrt(3))

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

The value of sqrt(28+10 sqrt3)- sqrt(7-4 sqrt3) is closest to: sqrt(28+10 sqrt3)- sqrt(7-4 sqrt3) का मान किसके निकटतम है ?

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)+sqrt(6)-sqrt(13)) (ii) (3)/(sqrt(3)+sqrt(5) -1) (iii) (4)/(2-sqrt(3)+sqrt(7))

Show that cot (7 (1)/(2)) = sqrt(2) + sqrt(3) + sqrt(4) + sqrt(6) .