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Mathematics 24 Online
OpenStudy (18jonea):

Simplify

OpenStudy (18jonea):

@TheSmartOne

OpenStudy (18jonea):

@agent0smith

OpenStudy (18jonea):

@whpalmer4

OpenStudy (calculusxy):

First thing to note is that the term under the radical signs are both 9x. This means that we can easily subtract \(2\sqrt{9x} - 7\sqrt{9x}\) by just doing \((2-7)\sqrt{9x}\). So what do you get?

OpenStudy (18jonea):

\[-5\sqrt{9x}\]

OpenStudy (calculusxy):

Correct. Now look at the terms under the radical sign: 9 and x. Which one can you simplify more (in other words, take the square root of)?

OpenStudy (18jonea):

so would it be \[-5\sqrt{x}\]

OpenStudy (calculusxy):

Nope. First answer the question: What term under the radical sign can you take the square root of?

OpenStudy (18jonea):

9

OpenStudy (18jonea):

which is 3

OpenStudy (calculusxy):

Good. So you need to take that 3 and bring it out to multiply it with the -5. \(\large (-5 \times \color{red}{3})\sqrt{x}\) So what's your final answer?

OpenStudy (18jonea):

\[-15\sqrt{x}\]

OpenStudy (calculusxy):

Great!

OpenStudy (18jonea):

can you help me ith some more @calculusxy

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