Answer:
![12 \sqrt{2}](https://tex.z-dn.net/?f=12%20%5Csqrt%7B2%7D%20)
Step-by-step explanation:
Taking the terms one at a time,
![\frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%20%5C%5C%20%20%20%5Cfrac%7B14%20%2A%20%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B2%7D%20%2A%20%20%5Csqrt%7B2%7D%20%20%7D%20%20%5C%5C%20%20%20%5Cfrac%7B14%20%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%20%5C%5C%20%207%20%5Csqrt%7B2%7D%20%20)
![\sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B50%7D%20%5C%5C%20%20%5Csqrt%7B25%20%2A%202%7D%20%5C%5C%20%20%5Csqrt%7B25%7D%2A%20%20%5Csqrt%7B2%7D%20%20%20%20%5C%5C%205%20%2A%20%20%5Csqrt%7B2%7D%20%20%20%5C%5C%205%20%5Csqrt%7B2%7D%20)
Adding the terms, you have;
![7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2}](https://tex.z-dn.net/?f=7%20%5Csqrt%7B2%7D%20%2B%205%20%5Csqrt%7B2%7D%20%3D%287%20%2B%205%29%20%5Csqrt%7B2%7D%20%3D%2012%20%5Csqrt%7B2%7D%20%20%20%20)
Hope it helps!
I'm out!
Answer:
![x=1](https://tex.z-dn.net/?f=x%3D1)
Step-by-step explanation:
Remember:
![(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da%5C%5C%5C%5C%28a%2Bb%29%3Da%5E2%2B2ab%2Bb%5E2)
Given the equation
, you need to solve for the variable "x" to find its value.
You need to square both sides of the equation:
![(\sqrt{17-x})^2=(x+3)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7B17-x%7D%29%5E2%3D%28x%2B3%29%5E2)
![17-x=(x+3)^2](https://tex.z-dn.net/?f=17-x%3D%28x%2B3%29%5E2)
Simplifying, you get:
![17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0](https://tex.z-dn.net/?f=17-x%3Dx%5E2%2B2%28x%29%283%29%2B3%5E2%5C%5C%5C%5C17-x%3Dx%5E2%2B6x%2B9%5C%5C%5C%5Cx%5E2%2B6x%2B9%2Bx-17%3D0%5C%5C%5C%5Cx%5E2%2B7x-8%3D0)
Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:
![(x-1)(x+8)=0](https://tex.z-dn.net/?f=%28x-1%29%28x%2B8%29%3D0)
Then:
![x_1=1\\x_2=-8](https://tex.z-dn.net/?f=x_1%3D1%5C%5Cx_2%3D-8)
Let's check if the first solution is correct:
![\sqrt{17-(1)}=(1)+3](https://tex.z-dn.net/?f=%5Csqrt%7B17-%281%29%7D%3D%281%29%2B3)
(It checks)
Let's check if the second solution is correct:
![\sqrt{17-(-8)}=(-8)+3](https://tex.z-dn.net/?f=%5Csqrt%7B17-%28-8%29%7D%3D%28-8%29%2B3)
(It does not checks)
Therefore, the solution is:
![x=1](https://tex.z-dn.net/?f=x%3D1)
Answer: i thinks its conjointed twins
Step-by-step explanation:
my brother said it was that and hes smart so he dropped out of 8th grade
Answer:
g=153
Step-by-step explanation:
i hope this helped...