If `sqrt(ab)=sqrt(a)sqrt(b)` and `a<0` , find `arg(b+ai)`

If sqrt(a)=sqrt(b)+sqrt(c) and sqrt(a),sqrt(b)) and sqrt(c) are there surds,then

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

Let a,b in R.sqrt(a)sqrt(b)=sqrt(ab) is not true if

If the angles of elevation of a tower from two points distant a and b(a>b) from its foot and in the same straight line with it are 30o and 60o ,then the height of the tower is sqrt(a+b)(b)sqrt(ab)(c)sqrt(a-b)(d)sqrt((a)/(b))

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

If a= (sqrt(5) + sqrt(2))/(sqrt(5) -sqrt(2)) and b = (sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)) show that 3a^(2) + 4ab -3b^(2) = 4 +(56)/(3) sqrt(10)