`(2-sqrt2)/sqrt5`

Find the conjugate of (sqrt2 -isqrt2)/(2sqrt5-isqrt2)

Rationalize the denominatiors of : (2sqrt(5)+3sqrt(2))/(2sqrt(5)-3sqrt(2))

Rationalise the denominator of each of the following (i) (sqrt(3)+\ 1)/(sqrt(2)) (ii) (sqrt(2)+\ sqrt(5))/(sqrt(3)) (iii) (3sqrt(2))/(sqrt(5))

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

Let g(x) be a continuous and differentiable function such that int_0^2{int_(sqrt2)^(sqrt5/2)[2x^2-3]dx}.g(x)dx=0, then g(x) = 0 when x in (0, 2) has (where [ *] denote greatest integer function)

Simplify: (2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))

The centroid of an equilateral triangle is (0, 0). If two vertices of the triangle lie on x+y=2sqrt(2), then one of them will have its coordinates. (a) (sqrt(2)+sqrt(6),sqrt(2)-sqrt(6)) (b) (sqrt(2)+sqrt(3),sqrt(2)-sqrt(3)) (c) (sqrt(2)+sqrt(5),sqrt(2)-sqrt(5)) (d) none of these

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

The line L_1:""y""-""x""=""0 and L_2:""2x""+""y""=""0 intersect the line L_3:""y""+""2""=""0 at P and Q respectively. The bisector of the acute angle between L_1 and L_2 intersects L_3 at R. Statement-1 : The ratio P R"":""R Q equals 2sqrt(2):""sqrt(5) Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true