Question

rationalize the denominator

1+√2/√5+√3​

Answer 1

Answer:

1+√2 / √5+3 ( given)

1+√2 / √5 + 3 * √5 - 3 /√5-3

( Multiply and divide by √5 - 3)

(1+√2 ) ( √5 -3) / (√5 +3) (√5-3)

√5 - 3 + √10 - 3√2 / √5^2 - 3^2

By using : [( a+b) (a-b) = a^2 - b^2 ]

√5 - 3 + √10 - 3√2 / 5 - 9

√5 - 3 + √10 - 3√2 / - 4

- (√5 - 3 + √10 - 3√2) / 4

-√5 + 3 - √10 + 3√2 / 4

Answer....

Thank u☺