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Mathematics 22 Online
OpenStudy (waterlover9150802):

I'm going to post a picture. Help needed badly.

OpenStudy (waterlover9150802):

OpenStudy (peachpi):

Area of a square = s², where s is the side length. For ABCD: \[A=\left( 7x^{\frac{ 3 }{ 2 }} \right)^2\]

OpenStudy (peachpi):

Can you simplify that?

OpenStudy (peachpi):

@waterlover9150802

OpenStudy (waterlover9150802):

i have a question

OpenStudy (waterlover9150802):

@peachpi

OpenStudy (waterlover9150802):

since the outer square isn't a perfect square, wouldn't it mean that you can't multiply it by one other?

OpenStudy (phi):

if you take a *square root*, a "not perfect square" is inconvenient. but here you are squaring an expression, and you can always do that. \[ \left( 7 x^\frac{3}{2}\right)^2 = 7 \cdot x^\frac{3}{2} \cdot 7 \cdot x^\frac{3}{2} \]

OpenStudy (waterlover9150802):

ok @phi thank you

OpenStudy (waterlover9150802):

i got 49 x^3 is that right?

OpenStudy (phi):

you can change the order when multiplying so you can do \[ 7\cdot 7 \cdot x^\frac{3}{2} \cdot x^\frac{3}{2} \\ = 49 x^3 \]

OpenStudy (waterlover9150802):

then for c would i have to do 49x^3-9x

OpenStudy (phi):

yes or x(49 x^2 -9) not a better way to write, just a different way.

OpenStudy (waterlover9150802):

ok

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