Question

Hi,
my question is how do you square a quantity like

(2sqrt11)^2

Answer 1

\[\large (2\sqrt{11})^2\]

we can write it as

\[\large 2\sqrt{11} \times 2\sqrt{11}\]

So what is 2 times 2? and what is √11 times √11?

Answer 2

2x2=4, I'm not sure what the square root of 11 x square root of 11 is

Answer 3

Well...we know √11 times √11 can be written as

\[\large \sqrt{11}^2\] right?

"The square of a square root" they cancel each other out

So the square root on 11 times the square root of 11 = 11

so this question becomes \(\large 4\times 11\)

Answer 4

but wouldn't it go like 4+2sqrt11+2sqrt11+sqrt11^2?

Answer 5

Nope....if it were

\[\large (2 + \sqrt{11})^2\] it would be that case! because you would distribute it out!

however this is just multiplication

\[\large (2\sqrt{11})^2\]

Answer 6

oh ok, that makes sense.

Answer 7

Another question I have is that it says to multiply and simplify. (7 3sqrt4)(6 3sqrt2)