Question

Using the ratio of perfect squares method, what is the square root of 53 rounded to the nearest hundredth?

Answer 1

and calculators would be wrong in this, apparently

Answer 2

@AkashdeepDeb @iGreen

Answer 3

the anwser would be 53.00

Answer 4

Can you show me how you got this answer?

Answer 5

10 times 53=53.00

Answer 6

Why would you want to know how to get that answer? 53 is NOT the square root of 53.

Answer 7

Oooooh....I feel dumb now LOL

Answer 8

yes

Answer 9

This is called "Linear Interpolation"

7^2 = 49
8^2 = 64

(53-49)/(64-49) = (SR - 7)/(8-7)
4/15 = (SR-7)
SR = 7 + 4/15 = 7.266666
7.266666^2 = 52.804434 <== So we're still a little short.

7.266666^2 = 52.804434
8^2 = 64

(53-52.804434)/(64-52.804434) = (SR - 7.266666)/(8-7.266666)
0.195565/11.195566 = (SR-7.266666)
SR = 7.266666 + 0.017468076 = 7.284134
7.284134^2 = 53.05861 <== We overshot a little.

Answer 10

Do you have an example of this "Ratio of Perfect Squares" method? Maybe an example from your text book?