Week 3 Square roots

Write the entire as a mixed radical

$\sqrt{54}$

$\sqrt{54}$  = $\sqrt{2}$$\sqrt{27}$ ——>$\sqrt{3}$ *$\sqrt{9}$ *$\sqrt{2}$ ——-> $\sqrt{3}$$\sqrt{2}$ * 3 = 3$\sqrt{6}$

Write the mixed as an entire radical

-2 $^3\sqrt{5}$

= –$^3\sqrt{8}$$^3\sqrt{5}$

=$^3\sqrt{40}$

Arithmetic Sequence

Sequence: -13 -10 -7 – ….. +62      Determine the sum of the arithmetic sequence

62 = -13 + (n-1) (3)

+13    +13       —–> 75 = (n-1) (3) —–> $\frac{75}{3}$ = (n-1) ($\frac{3}{3}$) ——-> 25=n-1  =    n = 26

/prt 2   $S_{26}$ =  $\frac{26}{2}$ (-13+62)   —–>   $S_{26}$ = 13 (49)    —->    $S_{26}$ = 637