Solve [(0,075+j0,45)*(j3,5*10^-6)]^1/2

$$[ ( 0,075 + j 0,45 ) \cdot ( j 3,5 \cdot 10 ^ { - 6 } ) ] ^ { 1 / 2 }$$

Evaluate

$$\frac{\sqrt{\frac{9j_{0}j_{3}}{10}+\frac{3j_{3}}{20}}}{2000}$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\left(\left(0,075+j_{0}\times 0,45\right)j_{3}\times 0,5\times \frac{1}{1000000}\right)^{\frac{1}{2}}$$

Multiply 0,5 and \frac{1}{1000000} to get \frac{1}{2000000}.

$$\left(\left(0,075+j_{0}\times 0,45\right)j_{3}\times \frac{1}{2000000}\right)^{\frac{1}{2}}$$

Use the distributive property to multiply 0,075+j_{0}\times 0,45 by j_{3}.

$$\left(\left(0,075j_{3}+0,45j_{0}j_{3}\right)\times \frac{1}{2000000}\right)^{\frac{1}{2}}$$

Use the distributive property to multiply 0,075j_{3}+0,45j_{0}j_{3} by \frac{1}{2000000}.

$$\left(\frac{3}{80000000}j_{3}+\frac{9}{40000000}j_{0}j_{3}\right)^{\frac{1}{2}}$$

Factor

$$\frac{\sqrt{2j_{3}\left(\frac{9j_{0}}{20}+0,075\right)}}{2000}$$