Answer:
![\large\boxed{\sqrt{56x^{17}}=2x^8\sqrt{14x}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Csqrt%7B56x%5E%7B17%7D%7D%3D2x%5E8%5Csqrt%7B14x%7D%7D)
Step-by-step explanation:
![Domain:\ x\geq0\\\\\sqrt{56x^{17}}=\sqrt{4\cdot14\cdot x^{16+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{4\cdot14\cdot x^{16}\cdot x^1}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{14}\cdot\sqrt{x^{16}}\cdot\sqrt{x}=2\cdot\sqrt{14}\cdot\sqrt{x^{8\cdot2}}\cdot\sqrt{x}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=2\cdot\sqrt{14}\cdot\sqrt{(x^8)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot\sqrt{14}\cdot x^8\cdot\sqrt{x}=2x^8\sqrt{14x}](https://tex.z-dn.net/?f=Domain%3A%5C%20x%5Cgeq0%5C%5C%5C%5C%5Csqrt%7B56x%5E%7B17%7D%7D%3D%5Csqrt%7B4%5Ccdot14%5Ccdot%20x%5E%7B16%2B1%7D%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20a%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%3D%5Csqrt%7B4%5Ccdot14%5Ccdot%20x%5E%7B16%7D%5Ccdot%20x%5E1%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Ccdot%5Csqrt%7Bb%7D%5C%5C%5C%5C%3D%5Csqrt4%5Ccdot%5Csqrt%7B14%7D%5Ccdot%5Csqrt%7Bx%5E%7B16%7D%7D%5Ccdot%5Csqrt%7Bx%7D%3D2%5Ccdot%5Csqrt%7B14%7D%5Ccdot%5Csqrt%7Bx%5E%7B8%5Ccdot2%7D%7D%5Ccdot%5Csqrt%7Bx%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D2%5Ccdot%5Csqrt%7B14%7D%5Ccdot%5Csqrt%7B%28x%5E8%29%5E2%7D%5Ccdot%5Csqrt%7Bx%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%7Ba%5E2%7D%3Da%5C%20%5Ctext%7Bfor%7D%5C%20a%5Cgeq0%5C%5C%5C%5C%3D2%5Ccdot%5Csqrt%7B14%7D%5Ccdot%20x%5E8%5Ccdot%5Csqrt%7Bx%7D%3D2x%5E8%5Csqrt%7B14x%7D)
Answer:
-2<x≤5
Step-by-step :
-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.
-1<x+1≤6 I would start off by isolating x in the middle.
-1<x+1≤6 I subtracted 1 from all three sides.
-1 -1 -1
Now your equation should look like this:
-2<x≤5 Now there is really nothing much we can do here since we were just trying to get x by its self.
Answer : -2<x≤5
The is 42 because that the answer to the question
The correct answer should 1.1333