Question

Express in simplest form
10 square root of 24 divide 2 square root of 2?

Answer 1

\[\frac{ 10\sqrt{24} }{ 2\sqrt{2} }\]

Answer 2

yeah

Answer 3

So what two numbers can you multiply together, one being a perfect square that goes into 24?

a x b = 24

a or b should be a perfect square

Answer 4

4 and 6

Answer 5

Good

Answer 6

So, now what is the square root of 4?

Answer 7

2

Answer 8

So that comes to the outside...

10(2)\[10(2)\sqrt{6}\]

Answer 9

so that would be the answer

Answer 10

\[20\sqrt{6}\]

Answer 11

\[\frac{ 20\sqrt{6} }{ 2\sqrt{2} }\]

Answer 12

Okay thanks now I get it

Answer 13

So what is your final answer @farmergirl411

Answer 14

10 square root of 3

Answer 15

\[\frac{ 10\sqrt{6} }{ \sqrt{2}}\]

Answer 16

I forget if we can actually simplify those two radicals like that... let me double check

Answer 17

ok

Answer 18

Oh okay I just checked and it is \[10\sqrt{3}\]

Answer 19

ok thanks

Answer 20

\[\frac{ 10\sqrt{24} }{ 2\sqrt{2}} \\=\frac{ 10\sqrt{4 \times 6} }{ 2\sqrt{2}} \\=\frac{ 10\sqrt{4} \times \sqrt{6}}{ 2\sqrt{2}} \\= \frac{ 10(2)\sqrt{6}}{ 2\sqrt{2}} \\= 10\frac{\sqrt{6}}{\sqrt{2}} \\= 10\sqrt{\frac{6}{2}} \\= 10\sqrt{3}\]

Answer 21

Yeah, see that looks better... it was confusing me because I had the 6 and 2 under separate radicals...

Answer 22

I think I was thinking of addition...

Answer 23

or subtraction... you know?

Answer 24

Remember this rule

\[\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\]

Answer 25

Will do! :D Thanks again @Hero