Question

Rationalize the denominator of 2÷sq root 5​

Answer 1

Answer:

2√5/5

Step-by-step explanation:

To rationalize a denominator, we multiply both the numerator and denominator by a number to make it rational.

If the denominator is x + √y or x - √y, we multiply both the numerator and denominator by x - √y or x + √y respectively to use a² - b² identity and make the denominator rational.

Here, the denominator is √5 which can be written as √5 + 0. It is in the form √y + x. Thus, we will multiply both the numerator and denominator by √y - x or √5 - 0 => √5

=> (2/√5)*(√5/√5)

=> (2√5)/(√5*√5)

=> 2√5/5

Thus, the rationalized version of 2/√5 is 2√5/5.