81 = 9x9 or 9 squared so at this stage I'm guessing the last two. x^ 8 = (x^ 4) x (x^ 2) (its called the multiplication rule of indices). Okay I have approx 14 mins to answer. No panic √ 81.x^8 x <span>√ y^5 </span>√ (9x^2 x 9x^6) x <span>√ y^5 </span>= 9x x <span>√ 9x^6 x </span><span>√ y^5 </span>did I just gain time? √ 9x^6 = <span>√ </span>3x ^3 x <span>√ 3x ^ 3 </span>or 2 . √ 3x^3. <span>√ y^5 </span>more time okay, so that wasnt successful. √ 9x^6 =<span>√ </span> (3x^2) x <span>√ </span>(3x^4)
The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em><em>:2x. </em>Since we know that the 30 degree value is 8, we can establish that the 60 degree value is 8* = 24.