How do you rationalize the denominator and simplify sqrt2/sqrt5?

1 Answer
Apr 4, 2016

sqrt(10)/5

Explanation:

Multiply by 1 and you do not change the inherent value. 1 can come in many forms. Foe example: 1=sqrt(5)/sqrt(5)

Multiply by 1 but in the form of 1=sqrt(5)/sqrt(5) giving

sqrt(2)/(sqrt(5))xxsqrt(5)/sqrt(5)

=(sqrt(2)sqrt(5))/5

=(sqrt(2xx5))/5

sqrt(10)/5