Question

Using the ratio of perfect squares method, what is square root of 128 rounded to the nearest hundredth?

Answer 1

@Michele_Laino

Answer 2

@caitesinclair @KyanTheDoodle @inowalst @OpenStudyRocks5*

Answer 3

we can write:
\[128 = 2 \times {8^2}\]

Answer 4

right

Answer 5

so, we have:
\[\sqrt {128} = \sqrt {2 \times {8^2}} = 8\sqrt 2 = ...?\]

Answer 6

8 x the square root of 2?

Answer 7

yes!

Answer 8

\[\large \sqrt {128} = \sqrt {2 \times {8^2}} = 8 \times \sqrt 2 = ...?\]

Answer 9

1.2 is the square root of 2 right

Answer 10

better is:
\[\sqrt 2 = 1.414\]

Answer 11

11.31?

Answer 12

that's right!

Answer 13

thanks but where did you get 8 from ? when we started