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

1 Answer
Apr 4, 2016

Answer:

#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#