The correct option is B |(α+β)^6(α+β)(α+β)^2| √((α+β)^12(α+β)^2(α+β)^4) = √(((α+β)^6(α+β)(α+β)^2)^2) = |(α+β)^6(α+β)(α+β)^2| ...

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Modulus of a Complex Number

Simplify: √...

Question

Simplify: $\sqrt{\frac{(α + β)^{12} (α + β)^{2}}{(α + β)^{4}}}$

∣ ∣ ∣ \frac{(α + β)^{6} (α + β)}{(α + β)^{2}} ∣ ∣ ∣

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\frac{(α + β)^{5} (α + β)}{(α + β)^{2}}

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∣ ∣ ∣ \frac{(α + β)^{6} (α + β)^{2}}{(α + β)^{2}} ∣ ∣ ∣

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\frac{(α + β)^{6} (α + β)}{(α + β)^{2}}

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Solution

The correct option is B $∣ ∣ ∣ \frac{(α + β)^{6} (α + β)}{(α + β)^{2}} ∣ ∣ ∣$
$\sqrt{\frac{(α + β)^{12} (α + β)^{2}}{(α + β)^{4}}}$
$=$ $\sqrt{(\frac{(α + β)^{6} (α + β)}{(α + β)^{2}})^{2}}$
$=$ $∣ ∣ ∣ \frac{(α + β)^{6} (α + β)}{(α + β)^{2}} ∣ ∣ ∣$

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