If `sqrt(a^2-6asqrt2+19)+sqrt(b^2-4bsqrt3+16)le3` where a and b are real numbers find the value of `(a^2-b^2)`

If (3-2sqrt(5))/(6-sqrt(5))=a+bsqrt(c) where a and b are rational numbers, then what are the values of a and b ?

If (sqrt 2+sqrt 3)^2=a+bsqrt 6 where a,b in theta ,then find the value of a and b.

3/(sqrt3-sqrt2)=asqrt3-bsqrt2

If (-2 + sqrt-3) (-3 + 2 sqrt-3) = a + bi , find the real numbers a and b. With these values of a and b, also find the modulus of a+ bi

If (5+2sqrt3)/(7+4sqrt3)=a+bsqrt3 , then the value of a and b is

If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , then find the value of 3(a^(2)-b^(2)) .

If (-2 + sqrt-3) (-3 + 2 sqrt-3)=a +bi , find the real numbers a and b with values of a and b, also find the modulus of a+bi

If quad sqrt(6)-sqrt(3),b=sqrt(3)-sqrt(2) and c=sqrt(2)-sqrt(6), then find the value of a^(3)+b^(3)+c^(3)-2abc.

If (5 sqrt 2+3 sqrt 3)-(6 sqrt 2-7 sqrt 3)=a sqrt 2+b sqrt 3 then find a and b.

If a and b are rational numbes (2+sqrt3)/(2-sqrt3)=a+bsqrt3 find the values of a and b.