Show that :
`sqrt( a/b ) = sqrt(a)/ sqrt( b )`

Evaluate : ( sqrt(a) + sqrt(b) ) ( sqrt(a) - sqrt(b) )

Evaluate : ( -b/a ) / sqrt( b/a ) + sqrt(b)/ sqrt(a ) = ?

x = ( sqrt ( a + b ) - sqrt (a -b ))/( sqrt (a +b ) + sqrt (a -b )), then what is bx ^(2) - 2ax + b equal to (b ne 0) ?

Suppose a,b are positive real numbers such that a sqrt(a)+b sqrt(b)=183 and a sqrt(b)+b sqrt(a)=182 then find ((9)/(5))(a+b)

The conjugate surd of sqrt(a)+b is sqrt(a)-b b- "sqrt(a) sqrt(a)+sqrt(b) sqrt(a)-sqrt(b)

sqrt(a/b+b/a-2)= 1) sqrt(a/b)+sqrt(b/a) 2) sqrt(a/b)-sqrt(b/a) 3) sqrt(a)/b-b/sqrt(a) 4) sqrt(a)/b-sqrt(b)/a

(a+c sqrt(b))(2+y sqrt(b))

If the arithmetic mean between a and b is twice as great as the geometric mean,show that (a)/(b)=(2+sqrt(3))/(2-sqrt(3))