Is the simplified form of 2square root of 3 • square root of 12 rational? Yes No
\[2 \sqrt 3 * \sqrt 12 = \] \[2\sqrt3 * \sqrt 4 * \sqrt 3 = \] \[2 \sqrt 3 * 2 \sqrt 3 =\] \[4 * 3\] Therefore, Yes it's rational.
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Thank you. Haha. Can you help me with a few more? I'm not really understanding these
I can try
4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 a.)2 square root of 8 b.)8 square root of 2 c.)8 square root of 6 d.)6 square root of 8
\[4 \sqrt 2 + 7 \sqrt 2 - 3 \sqrt 2 = 8\sqrt 2\] B. 8 square root of 2
Ohhh. I did it wrong then. I got a... Haha. Ooppsiee. ALrighty heres the next one 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6 5 square root of 14 end root minus 7 square root of 12 5 square root of 7 end root minus 7 square root of 6 7 square root of 12 end root minus 5 square root of 14 7 square root of 6 end root minus 5 square root of 7
\[5 \sqrt 7 + 12 \sqrt 6 - 10 \sqrt 7 - 5 \sqrt 6 = 7 \sqrt 6 - 5 \sqrt7\] D 7 square root of 6 end root minus 5 square root of 7
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