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anonymous
 4 years ago
Square root of (4x^6)
anonymous
 4 years ago
Square root of (4x^6)

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JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1Simplify what amistre has written

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Why did he divide the 6 by 2..?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1those root radicals are just exponents

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.12rt() = ^1/2 10rt() = ^1/10

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1because \[ (x^a)^b = x^{ab} \] Hence \[ \sqrt{x^6} = (x^6)^{1/2} = x^{6/2} = ... \]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1its makes the math simpler

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1Hence here \[ \sqrt{4x^6} = \sqrt{4} \sqrt{x^6} = ... what? \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I still don't get where the 1/2 is coming from

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1\[ \sqrt{x} = x^{1/2} \] For example, if \[ \sqrt{x} = 3 \] then \[ \sqrt{x}^2 = 3^2 \] i.e., \[ x = 3^2 \] It must be therefore that \( \sqrt{x} = x^{1/2} \). If this weren't the case we wouldn't have \[ \sqrt{x}^2 = x \] Having \[ \sqrt{x} = x^{1/2} \] is consistent with the definition of square root because \[ (x^{1/2})^2 = x^{2/2} = x^1 = x \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So am i only dividing the x^6 by two to make it x^3 since the exponent doesn't pertain to the 4?
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