Expand using suitable identity:
`(sqrt a+sqrt b)^2`

Using suitable identity, evaluate: (97)^(3)

Using suitable identity, evaluate: (104)^(3)

Using suitable identity , evaluate the following (i) 103^(3) (ii) 101xx102 (iii) 999^(2)

Which of the following is equivalent to (sqrt(a)timessqrt(b))/(3sqrt(a)-2sqrt(b)) ?

If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triangle, its incentre is (2+sqrt(2),2+sqrt(2) ) (b) [2+sqrt(2),-(2+sqrt(2))] (2-sqrt(2),2-sqrt(2)) (d) [2-sqrt(2),(2+sqrt(2))]

If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triangle, its incentre is (2+sqrt(2),2+sqrt(2) ) (b) [2+sqrt(2),-(2+sqrt(2))] (2-sqrt(2),2-sqrt(2)) (d) [2-sqrt(2),(2+sqrt(2))]

Check whether following pairs of function are identical or not? f(x)=sqrt(x^(2)) and g(x)=(sqrt(x))^(2)

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)

Remove the irrationality in the denominator a. sqrt((sqrt(2)-1)/(sqrt(2)+1)) b. 1/(1+sqrt(2)+sqrt(3))

Solve using cross-multiplication {:(sqrt(2)x-sqrt(3)y=0),(sqrt(5)x+sqrt(2)y=0):}