## anonymous one year ago Hi, my question is how do you square a quantity like (2sqrt11)^2

1. johnweldon1993

$\large (2\sqrt{11})^2$ 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?

2. anonymous

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

3. johnweldon1993

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 $$\large 4\times 11$$

4. anonymous

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

5. johnweldon1993

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 $\large (2\sqrt{11})^2$

6. anonymous

oh ok, that makes sense.

7. anonymous

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