express R as rational expression
1/R=1/R2+1/R2+1/R3
R FOR R1=5 OHMS
R FOR R2=4 OHMS
R FOR R3=10 OHMS
correction ..... 1/R=1/R1+1/R2+1/R3
1/R = 1/5 + 1/4 +1/10= 11/20
R/1 = 20/10
R = 2
btw, why did you make a correction, your corrected equation is the same as the original one
To express R as a rational expression, we need to simplify the given equation:
1/R = 1/R2 + 1/R2 + 1/R3
First, we can rewrite the equation to have a common denominator:
1/R = (R3 + R3 + R2) / (R2 * R3)
Next, to combine the terms in the numerator, we add R2 and 2R3:
1/R = (2R3 + R2) / (R2 * R3)
Finally, to get R as a rational expression, we need to find the reciprocal of both sides of the equation:
R = (R2 * R3) / (2R3 + R2)
Now, we can substitute the given values for R1, R2, and R3 to find the numerical value of R:
R = (4 * 10) / (2 * 10 + 4)
R = 40 / 24
R = 5/3
Therefore, for R1 = 5 ohms, R2 = 4 ohms, and R3 = 10 ohms, the rational expression for R is 5/3.