Question

rationalize the denominator of folowing. 1/3+2√5​

Answer 1

Answer:

Step-by-step explanation:

1/3 + 2/√5

= √5 + 6/ 3√5

= (√5 + 6)√5 / 3√5(√5)

= 5+6√5/3*5

= 5+6√5/15

Answer 2

Answer:

The conjugate for $3+2\sqrt{5}$ is $3-2\sqrt{5}$

Multiply and divide by the conjugate $3-2\sqrt{5}$

$\frac{1}{3+2\sqrt{5} } * \frac{3-2\sqrt{5} }{3-2\sqrt{5}} = \frac{3-2\sqrt{5}}{3^2-2^2(5)} = \frac{3-2\sqrt{5}}{9-20} = \frac{3-2\sqrt{5}}{-11}$