# What is the square root of 35/36?

##### 1 Answer

Nov 29, 2015

#### Explanation:

If

So in our case:

#sqrt(35/36) = sqrt(35)/sqrt(36) = sqrt(35)/6#

#sqrt(35) = sqrt(5*7)# cannot be further simplified since it has no square factors.

It is an irrational number, so cannot be expressed as a repeating decimal or ratio of whole numbers.

Since

#sqrt(35) = [5;bar(1, 10)] = 5+1/(1+1/(10+1/(1+1/(10+...))))#