What is (sqrt(R^2))/(sqrt(R^2+(1/(WC))^2)) ?

The solution to (sqrt(R^2))/(sqrt(R^2+(1/(WC))^2)) is (RWC)/(sqrt(R^2W^2C^2+1))

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simplify (sqrt(R^2))/(sqrt(R^2+(1/(WC))^2))

simplify

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

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

Solution steps

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

R^{2} = R

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

Simplify

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}}

Apply the fraction rule:

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

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

2.4 \cdot 1 0^{- 10}

0.2 (t - 2) \cdot (0.2 (t^{2} - 4 t + 4))

\frac{13}{6}

\frac{- 22}{2}

[(4^{3})^{2}]^{2}

What is (sqrt(R^2))/(sqrt(R^2+(1/(WC))^2)) ?
The solution to (sqrt(R^2))/(sqrt(R^2+(1/(WC))^2)) is (RWC)/(sqrt(R^2W^2C^2+1))