What is the square root of 35/36?

##sqrt(35)/6 ~~ 0.9860133##

If ##a, b > 0## then ##sqrt(a/b) = sqrt(a)/sqrt(b)##

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 ##35## is of the form ##n^2-1##, its square root does take a simple form as a continued fraction:

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

Leave a Comment

Your email address will not be published. Required fields are marked *

Is this question part of your Assignment?

Get expert help

Girl in a jacket


We are a team of academic consultants with extensive experience in writing academic papers for college students in the US, Canada, UK, AU, and other parts of the world.

We help students with both technical and non-technical assignments across all majors & academic disciplines.

Unlike what our name suggests, we research and draft everything word for word. We do not use AI or any rewriting tool! We provide Turnitin reports for AI & Turnitin alongside every paper.

Need help? Send us your assignment now!

description here description here description here