化简 (sqrt(R^2))/(sqrt(R^2+(1/(WC))^2))

解答

化简

\frac{R ^{2}}{R ^{2} + ( \frac{1}{W C} ) ^{2}}

\frac{R W C}{R ^{2} W ^{2} C ^{2} + 1}

求解步骤

\frac{R ^{2}}{R ^{2} + ( \frac{1}{W C} ) ^{2}}

使用根式运算法则:

a^{2} = a,

假定

a \geq 0

R^{2} = R

= \frac{R}{R ^{2} + ( \frac{1}{W C} ) ^{2}}

化简

R^{2} + (\frac{1}{W C})^{2} : \frac{R ^{2} W ^{2} C ^{2} + 1}{W C}

= \frac{R}{\frac{R ^{2} W ^{2} C ^{2} + 1}{W C}}

使用分式法则:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{R W C}{R ^{2} W ^{2} C ^{2} + 1}

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