If a and b are positive natural numbers `(sqrta + sqrtb)(sqrtc+sqrtd) = sqrt(ac) + sqrt(ad)+sqrt(bc)+sqrt(bd)`

If a and b are positive natural numbers (sqrt(a)+sqrt(b))(sqrt(a)-sqrt(b))=a-b

If a and b are rational numbers and (sqrt(2)+2sqrt(3))/(2sqrt(2)+sqrt(3))=a+b sqrt(6)

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

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

If m and n are natural numbers such that sqrt(7+sqrt(48))=sqrt(m)+sqrt(n) then m^(2)+n^(2)=

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

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)

If sqrt(a)>sqrt(b)>sqrt(c)>sqrt(d) where a,b,c and d are consecutive natural numbers then which of the following is correct (1)sqrt(a)-sqrt(b)>sqrt(c)-sqrt(d)(2)sqrt(c)-sqrt(d)>sqrt(a)-sqrt(b)(3)sqrt(a)-sqrt(c)>sqrt(b)-sqrt(d)(4)sqrt(c)-sqrt(d)=sqrt(a)-sqrt(b)

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If x=2sqrt(5)+sqrt(3) and y=2sqrt(5)-sqrt(3) , then x^(4)+y^(4) =

If both a and b are rational numbers,Find a and b*(3+sqrt(7))/(3-sqrt(7))=a-b sqrt(7)