Question

simplify
$\sqrt[4]{81} - 8 (\sqrt[3]{216} ) + 15( \sqrt[5]{30} ) + \sqrt{225}$

Answer 1

Xmin = -3
Xmax = 5
Xscl = 1
Ymin = -3
Ymax = 5
Yscl = 1



Note that y = A when x = 0.



15.



(-4.f«. 3,


i:. 1.73)







(a) (2,.v) = (2, 1.73) (y = V5 - 2 = 73 = 1.73)

(b) (x, 3) = (-4, 3) (3 = 75 - (-4))



\1. y = x^ + X- 2

y-intercept: y = 0"^ + — 2
y=-2;(0, -2)

= x~ + X - 2



jc-intercepts:



= (x + 2){x - 1)

X = -2, 1; (-2,0), (1,0)



21. V =



3(2 - V^)



y-intercept: None, x cannot equal 0.



JT-intercepts:



= 2 - Vx
.1 = 4: (4, 0)



19. y = xV25 - .t'



y-intercept: y = 0^725 - 0^
y = 0; (0, 0)



jc-intercepts:



; = .r=v/25^^



= .r=7(5 - .x)(5 + x)
x = 0, ±5: (0,0): (±5,0)

23. .r^' - x^ + Ay =
y-intercept:

O^Cv) - 02 -(- 4y =

y = 0: (0. 0)
-T-intercept:

x-{Q) - X- + 4(0) =

x = Q; (0, 0)

Answer 2

$\sqrt[4]{81} - 8( \sqrt[3]{216} ) + 15( \sqrt[5]{30) } + \sqrt{225 } \\ = 3 - 8(6) + 15 \sqrt[5]{30} + 15 \\ = 3 - 48 + 15 \sqrt[5]{30} + 15 \\ = - 45 + 15 + 15 \sqrt[5]{30} \\ = - 30 + 15 \sqrt[5]{30} \\ =15( - 2 + \sqrt[5]{30)}$
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