Rationalize :
`b^2 / ( sqrt( a^2 + b^2 ) + a )`

Rationalize : (2)/(sqrt(5))

Rationalize : ( sqrt(2) + sqrt(3) ) / sqrt(5)

Rationalize-: sqrt3/(2sqrt3+2sqrt6)

Rationalize- sqrt3/(2sqrt2)-1/(2sqrt2)

Suppose a and b are two different complete numbers such that |a + sqrt(a^(2) - b^(2))| + | a - sqrt(a^(2) - b^(2))| = |a + b| + 4 then |a-b| is equal to _________

If theta=3alphaand sintheta=a/(sqrt(a^2+b^2)), the value of the expression acos e calpha-bsecalpha is (a)a/(sqrt(a^2+b^2)) (b) 2sqrt(a^2+b^2) (c) a+b (d) none of these

What is the value of x, if (b+ sqrt(b^(2) - 2bx))/(b-sqrt(b^(2) - 2bx))=a?

Express each one of the following with rational denominator: (3sqrt(2)+1)/(2sqrt(5)-3) (ii) (b^(2))/(sqrt(a^(2)+b^(2))+a)