Question

Estimate the value of each square root to the tenths place: 39

I've have no idea on how to even start.. please help?

Answer 1

you can use a calculator to evaluate sqrt(39)

or you can do so by hand (check out the page below)

http://www.homeschoolmath.net/teaching/square-root-algorithm.php

Answer 2

Okay so I got the two consecutive numbers and I got 36 and 49 then I said there was 13 in between so then it would have to be 13. Something but whenever I multliply it by itself it comes out WAY over what it's suppose to be close to.

Sorry if I don't make any sense but I'm really trying

Answer 3

since 6^2 = 36 and 7^2 = 49

and because 39 is between 36 and 49, this means that sqrt(39) must be between 6 and 7

Answer 4

What?

Answer 5

sqrt(39) means "square root of 39"

Answer 6

where are you stuck?

Answer 7

After the consecutive part because I thought you just counted how many were in between them and started guessing...

Answer 8

you could do that too

we know for a fact that sqrt(39) is between 6 and 7

so start guessing, so guess 6.1, 6.2, etc and check each guess by squaring it

Answer 9

So did I get the consecutive numbers wronged? Because I got them as 36 & 49 so I got 13 in between that's where I'm confused..

I'm so sorry...

Answer 10

how are you getting 13?

Answer 11

I see how you're getting 36 and 49

Answer 12

I thought my math teacher said something about counting how many numbers are between 36 & 49 so I counted and got 13.

Answer 13

oh i see

Answer 14

I'm not sure why she told you to do that

Answer 15

notice how 6^2 = 36

so that means the square root of 36, sqrt(36) for short, is 6

ie

sqrt(36) = 6

make sense so far?

Answer 16

Yep

Answer 17

and also notice how 7^2 = 49

so

sqrt(49) = 7

Answer 18

because sqrt(36) = 6 and because sqrt(49) = 7

this means that sqrt(39) must be between 6 and 7

Answer 19

since 39 is between 36 and 49

Answer 20

Gotcha!

Answer 21

so you just have to go through 6.1, 6.2, 6.3, 6.4, etc

and square each one and see which one gets closest to 39

Answer 22

I've got no clue what I was doing but you helped me A LOT. So my answer should be 6.2 because that's the closest I can get to 39 without going over right?

Answer 23

yes it turns out (by use of a calculator) that

sqrt(39) = 6.244997998

and this is approximate of course

Answer 24

so 6.2 is as close as you get

Answer 25

Yep thanks (:

Answer 26

you're welcome