Question

Using the ratio of perfect squares method, what is square root of 14 rounded to the nearest hundredth?

Answer 1

@amistre64 could you help me?

Answer 2

@dtan5457

Answer 3

ive never come across that method ... srry

Answer 4

oh. its alright.

Answer 5

Well, \(\sqrt{14} = \sqrt{2\cdot7} = \sqrt2\sqrt7\).

Answer 6

so i multiply 2 and 7?

Answer 7

multiply \(\sqrt2\) and \(\sqrt7\)

Answer 8

i am intrigued... so the goal is to find 2 num a,b such that a^2/b^2 = 14, then sqrt(14) = a/b

Answer 9

Are you familiar with "ratio of perfect squares method?" @dumbcow

Answer 10

no im not, im just speculating

Answer 11

nupe. not one bit. I was previously in pre-al then i trnsferred school now i am suddenly in Algebra

Answer 12

well from quick looks on google, it seems that you just simplify radical, then calculate from there, I guess.

Answer 13

i got 14 from 2 and 7

Answer 14

what is the ratio of perfect squares method? is there another name for it ?

Answer 15

http://www.algebra.com/algebra/homework/Square-cubic-other-roots/Square-cubic-other-roots.faq.question.955137.html

Answer 16

I said multiply \(\sqrt2\) and \(\sqrt7\)

Answer 17

i know. i did. i got \[\sqrt{2}\]

Answer 18

i mean 14

Answer 19

So \(\sqrt2\times\sqrt7 = 14\)?

Answer 20

well \[\sqrt{14}\]

Answer 21

well, we are back to where we start.

Just convert \(\sqrt2\) and \(\sqrt7\) into decimal, then multiply them together.

Answer 22

ok

Answer 23

@pikapow , just put sqrt(14) in your calculator then round

you cant factor any perfect squares out of 14

Answer 24

3.7224

Answer 25

right?

Answer 26

If you don't have to show work, there is no point in doing that, so just do what @dumbcow said lol

Answer 27

was i right though?

Answer 28

Well, I got 3.7416

Answer 29

me too

Answer 30

wait. no i didnt

Answer 31

Okay, so round it to nearest hundredth and you have 3.74

Answer 32

Calculate \(\sqrt{14}\)?