Answer:
Step-by-step explanation:
Here's how you convert:
![\sqrt[n]{x^m}=x^{\frac{m}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D)
The little number outside the radical, called the index, serves as the denominator in the rational power, and the power on the x inside the radical serves as the numerator in the rational power on the x.
A couple of examples:
![\sqrt[3]{x^4}=x^{\frac{4}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E4%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B3%7D)
![\sqrt[5]{x^7}=x^{\frac{7}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E7%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B5%7D)
It's that simple. For your problem in particular:
![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
is the exact same thing as ![\sqrt[3]{7^1}=7^{\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%5E1%7D%3D7%5E%7B%5Cfrac%7B1%7D%7B3%7D)
No its not an rational number.The answer is no
I'd have to say it's A. Please don't blame me if I'm wrong. :)
solution:
a) The mean value of gap w̅ is given by,
w̅= d̅ - a̅ - b̅ - c̅
w̅=06.520-0.150-2.000-3.000
w̅=0.020 in
bilateral tolerances of the gap is given by,
tw = ∑t
tw = 0.001+0.003+0.004+0.010= 0.018 in
w = 0.020 ± 0.018 in
b) if wmin =0.010 in , then
w̅ = wmin + tw
w̅ = 0.010+ 0.018=0.028 in
mean size of d is
d̅ = a̅ + b̅+ c̅+ w̅
d̅ =1.500+2.000+3.000+0.028
= 6.528 in
