Hello. I am learning something new this year in math and truly need some help please.

Question

Ordering Real Numbers.
Compare. Write <, >, or =

Square root of 8 + 3 8 + square root of 3
I have to compare these and don't know where to begin or how to start this. Please explain or help me.

Answer 1

How do I find just the square root of 3?

Answer 2

3 is the square root of 9 ... so the square root of 8 is less than 3 by a little
... so √8 + 3 is a little less than 6

8 is already larger than 6 ... adding the √3 just makes the difference larger

so ... √8 + 3 is LESS THAN 8 + √3
... the smaller (pointy) side of the arrow goes toward the smaller quantity

Answer 3

Hello Mr. Scott. Is the square root of 8? 2
Would square root of 8 + 3= 2 + 3=6?

Answer 4

Hello Mr. Scott,
I understand with the way you explained it because 6 is already less than 8 and yes you are right that the square root of 3 would make the answer bigger so instead of having to figure out square root of 3 then the 6 is less than 8 so you are just saying this is just an easy way to find this out. Is this correct?

Answer 5

yes

Answer 6

How would you go about figuring out the square root of 3 though?
What are the steps in order to do this?

Answer 7

the calculator is easiest ... but there is a "long hand" method
... it's like long division

google it if you are interested

what do they teach in class for finding square roots?