Rationalize :
( a ) `7/sqrt(2)`
( b ) `( 2 + sqrt(3) )/sqrt(7)`

( sqrt3 + sqrt7)^2

(sqrt3 + sqrt7)^2

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

Rationalize 3/(2sqrt7+sqrt5)

Simplest rationalizing factor of (i)(7-3sqrt(5)) (ii) (3-2sqrt(2))/(5+2sqrt(3))

Evaluate : ( sqrt(7) + sqrt(2) ) times ( sqrt(3) + sqrt(8) )

Evaluate : ( sqrt(3) + sqrt(7) ) times ( sqrt(3) + sqrt(7) )

(2sqrt(7))/(sqrt(5)-sqrt(3))

Classify the following numbers as rational or irrational: (i) 2-sqrt(5) (ii) (3+sqrt(23))-sqrt(23) (iii) (2sqrt(7))/(7sqrt(7)) (iv) 1/(sqrt(2)) (v) 2pi

Classify the following numbers as rational or irrational . (i) 2-sqrt(5) (ii) (3+sqrt(23))-sqrt(23) (iii) (2sqrt(7))/(7sqrt(7)) (iv) (1)/(sqrt(2)) (v) 2pi