## anonymous 4 years ago Express the volume of the rectangular prism in simplest radical form. l: 5√2 + 2√3, w: √15 - √12 and h: 5√2 - 2√3?

1. Mertsj

$(5\sqrt{2}+2\sqrt{3})(\sqrt{15}-2\sqrt{3})(5\sqrt{2}-2\sqrt{3})$ Let's rearrange for convenience.

2. Mertsj

$(5\sqrt{2}+2\sqrt{3})(5\sqrt{2}-2\sqrt{3})(\sqrt{15}-2\sqrt{3})$ $(50-12)(\sqrt{15}-2\sqrt{3})$ $38(\sqrt{15}-2\sqrt{3})=38\sqrt{15}-76\sqrt{3}$

3. anonymous

the answer has to be: 38√15 - 38√2

4. Mertsj

Well then you have posted something wrong because the answer I gave you is the correct one for the problem you posted.

5. anonymous

|dw:1327890217385:dw|

6. Mertsj

|dw:1327890361280:dw|

7. Mertsj

The circled part is different from what you originally posted and still will not give the answer you stated.

8. Mertsj

So whenever you figure out what that number is, multiply it by 38 and that will be your answer.