Answer: Third option
Step-by-step explanation:
Remember that:
![\sqrt[n]{x^n}=x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx)
And the Product of powers property:

The expression is:
![\sqrt[4]{\frac{3}{2x}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B3%7D%7B2x%7D%7D)
To simplify this expression, you need to multiply the denominator and the numerator by
. Then:
![\frac{\sqrt[4]{3}}{\sqrt[4]{2x}}=\frac{\sqrt[4]{3(2^3x^3)}}{\sqrt[4]{2x(2^3x^3)}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3%7D%7D%7B%5Csqrt%5B4%5D%7B2x%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3%282%5E3x%5E3%29%7D%7D%7B%5Csqrt%5B4%5D%7B2x%282%5E3x%5E3%29%7D%7D)
Simplifiying, you get:
![\frac{\sqrt[4]{3(8x^3)}}{\sqrt[4]{2x(2^3x^3)}}=\frac{\sqrt[4]{24x^3}}{\sqrt[4]{2^4x^4}}=\frac{\sqrt[4]{24x^3}}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3%288x%5E3%29%7D%7D%7B%5Csqrt%5B4%5D%7B2x%282%5E3x%5E3%29%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B24x%5E3%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E4x%5E4%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B24x%5E3%7D%7D%7B2x%7D)
<h3>The answer to your question is k (-3) = 21!</h3>
Here's how I got this answer:
<em><u>K(a) = 2a^2 - a </u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)</u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)K(-3) = 2(9) + 3</u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)K(-3) = 2(9) + 3K (-3) = 18 + 3</u></em>
<em><u>K(a) = 2a^2 - a K(-3) = 2(-3)^2 - (-3)K(-3) = 2(9) + 3K (-3) = 18 + 3K (-3) = 21</u></em>
I hope this helps!
Also sorry for the late answer, I just got the notification that you replied to my comment, I hope I came in time!
Answer 169
This is because 13x13=169
Any irrational number will make an irrational number when added to 1/3.
Hope this helped :)
Answer: 
==========================================================
Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.

So that's why the diagonal BD is exactly
units long
Side note: 