Question

2/1sqrt2^3=?

Answer 1

rewrite it using the equation button below

Answer 2

yeah, it's unclear as written. Either write with the equation editor or use parens to make it clear.

Answer 3

2/(1/sqrt2)^3=?

Answer 4

2*2sqrt(2) = 4sqrt(2) That's what I got.

Answer 5

\[\frac{2}{(\frac{1}{\sqrt{2}})^3}\]???

Answer 6

\[2 \div \frac{1}{(\sqrt{2})^3} = 2 \times (\sqrt{2})^3 = 4\sqrt2\]

Answer 7

That's how I interpreted it, Hick.

Answer 8

answer 4sqrt2...nicely done smooth math, dhatrad..

Answer 9

how does 2 x (sqrt2)^3 = 4sqrt2?

Answer 10

\[\sqrt{2}\times\sqrt{2}\times\sqrt{2}=2\sqrt{2}\] throw in the extra 2 and you get \[4\sqrt{2}\]

Answer 11

2/ (1/sqrt2)^3 =2/ ((1/sqrt2)(1/sqrt2)(1/sqrt2)) = 2/ ((1/2)(1/sqrt2)) = 2/ (1/2sqrt2) = 2 * (2sqrt2/1) = 2*2sqrt2 = 4sqrt2

Answer 12

sqrt2^3 = sqrt 2 x sqrt 2 x sqrt 2 = 2 sqrt 2

Answer 13

Some part of that still confusing you? Is it how they end up multiplying? When you divide by a fraction, it's the same as multiplying by the reciprocal of that fraction.

Answer 14

idk, its just not clicking, its the multi. the sqrts i dnt get, how does sqrt2^3 = 2sqrt2?

Answer 15

do you understand that
\[(\sqrt2)^3 = \sqrt2 \times \sqrt 2 \times \sqrt 2\]
?

Answer 16

yes

Answer 17

And do you see that sqrt2*sqrt2 = 2?

Answer 18

do you understand that \[\sqrt2 \times \sqrt 2 = 2\]
?

Answer 19

yes

Answer 20

By definition, sqrt2 is the number that, when multiplied by itself, gives 2.

Answer 21

ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer 22

so, \[\sqrt2 \times \sqrt 2 \times \sqrt2 = 2 \times \sqrt2 = 2\sqrt2\]

Answer 23

wow, gotcha! i appreciated fellas thank u!

Answer 24

no problem

Answer 25

My pleasure.