Question

Rationalize
the denominator 1 /3√5+2√2​

Answer 1

Answer:

3√5 - 2√2/37

Step-by-step explanation:

1/(3√5 + 2√2)​

= 1*(3√5 - 2√2)/(3√5 + 2√2)*(3√5 - 2√2)

= 3√5 - 2√2/(3√5)^2 - (2√2)^2

= 3√5 - 2√2/9*5 - 4*2

= 3√5 - 2√2/45 - 8

= 3√5 - 2√2/37