Question

Retionalize the denominator ​

Answer 1

Step-by-step explanation:

1/(3+2×root5)

{1/(3+2×root5)}×{1/(3-2×root5)}

1/{3²-(2×root5)²} ,By the algebraic identity (a+b)(a-b)=a²-b²

1/9-20

1/-11

-1/11,As denominator cannot be negative.

I hope it helps you and BDW my name is Souvik Das,I have written2×root5 because the root symbol was not coming in my device,sorry for the inconvinience.

Answer 2

Step-by-step explanation:

1/3+2√5

To rationalize the denominator ,

multiply the numerator and denominator with 3-2√5

(1/3+2√5)(3-2√5/3-2√5)

(3-2√5)/(3+2√5)×(3-2√5)

(3-2√5)/(9-20)

(3-2√5)/-11

2√5-3/11