Question

Simplify 11(sqrt)112

Answer 1

\[11\sqrt{112}\]

Answer 2

you need to decompose 112 into factors. 112 = 4* 4* 7, right?

Answer 3

right.

Answer 4

so now you have 11*sqrt(4*4*7). How could you simplify what's in the square root?

Answer 5

11sqrt(2*8*7)=11sqrt(16*7)=11*4sqrt7 =44sqrt7

Answer 6

i dont know.

Answer 7

\[\sqrt{16*7} = \sqrt{16}*\sqrt{7}\]
Is it more visible now?

Answer 8

\[A. -44\sqrt{7}\]
\[B. -176\sqrt{7}\]
\[C. -26\sqrt{7}\]
\[D. 4\sqrt{7}\]

Answer 9

the sqrt of 16 is 4, so it is D?

Answer 10

I forgot to put the 11 in there, so it's actually A) : 11 * (4sqrt(7))

Answer 11

But, how is it -44? shouldint it be positive?

Answer 12

sqrt(16) is either 4 or -4, because 4^2 = 16 and (-4)^2 = 16. Usually, we always deal in positives, but the sqrt of something can be either sign. Important, what's INSIDE the sqrt root sould always be positive tho.

Answer 13

Ohhh ok. thanks. :)